Visual Generation Unlocks Human-Like Reasoning through Multimodal World Models
Paper • 2601.19834 • Published • 25
Datasets:
index int64 0 1.02k | prompt stringclasses 1
value | answer stringclasses 8
values | image images listlengths 1 1 | category stringclasses 1
value | extra_info stringclasses 1
value |
|---|---|---|---|---|---|
0 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
1 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 8 | ballgame | {} | |
2 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
3 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
4 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6 | ballgame | {} | |
5 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6 | ballgame | {} | |
6 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
7 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
8 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
9 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
10 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
11 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
12 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
13 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
14 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
15 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
16 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
17 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
18 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
19 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
20 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6 | ballgame | {} | |
21 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
22 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
23 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
24 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
25 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
26 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
27 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
28 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
29 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
30 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
31 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
32 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
33 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
34 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
35 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
36 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
37 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
38 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6 | ballgame | {} | |
39 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
40 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
41 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
42 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
43 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
44 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
45 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
46 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
47 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
48 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
49 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
50 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 8 | ballgame | {} | |
51 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
52 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
53 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
54 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
55 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
56 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
57 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
58 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
59 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
60 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
61 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
62 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
63 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
64 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
65 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
66 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
67 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
68 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
69 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
70 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
71 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
72 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
73 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
74 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
75 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
76 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
77 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
78 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
79 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
80 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
81 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
82 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
83 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
84 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
85 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
86 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 5 | ballgame | {} | |
87 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
88 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
89 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
90 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
91 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 6 | ballgame | {} | |
92 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 1 | ballgame | {} | |
93 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
94 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
95 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 2 | ballgame | {} | |
96 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} | |
97 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 3 | ballgame | {} | |
98 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 7 | ballgame | {} | |
99 |
In the given image:
1. There is a red ball and a green arrow; the arrow indicates the ball's initial direction of motion;
2. At the top of the image, there are several rectangular holes arranged horizontally, numbered from left to right starting at 1;
3. The black boundaries of the image represent solid walls. When the ball hits a wall, it undergoes ideal reflection;
4. The red ball is considered a point mass-its size is negligible;
5. The ball reflects according to the following rules:
- The component of velocity perpendicular to the wall is reversed in direction;
- The component of velocity parallel to the wall remains unchanged;
- The ball moves at a constant speed in an ideal environment until it enters one of the holes.
Your task is:
Estimate which hole the red ball will enter first during its motion.
Please reason step by step, and put your final answer within \boxed{{}}.
| 4 | ballgame | {} |
End of preview. Expand in Data Studio
VisWorld-Eval: Task Suite for Reasoning with Visual World Modeling 🌏
📋 Introduction
The VisWorld-Eval suite is for assessing multimodal reasoning with visual world modeling. It comprises seven tasks spanning both synthetic and real-world domains, each designed to isolate and demand specific atomic world-model capabilities.
| Task | Capability | Domain | Test Samples | Source / Reference |
|---|---|---|---|---|
| Paper folding | Simulation | Synthetic | 480 | SpatialViz |
| Multi-hop manipulation | Simulation | Synthetic | 480 | ZebraCoT, CLEVR |
| Ball tracking | Simulation | Synthetic | 1,024 | RBench-V |
| Maze | Simulation | Synthetic | 480 | maze-dataset |
| Sokoban | Simulation | Synthetic | 480 | Game-RL |
| Cube 3-view projection | Reconstruction | Synthetic | 480 | SpatialViz |
| Real-world spatial reasoning | Reconstruction | Real-world | 522 | MMSI-Bench |
⚙️ Load Data
Load from 🤗 HuggingFace:
from datasets import load_dataset
ds = load_dataset("thuml/VisWorld-Eval")
🧪 Evaluation
We evaluate different models through API servers. Set your API key and server address in evaluate.py (for the evaluated model) and task_verifiers.py (for the model judge), then run the evaluation script.
python eval/evaluate.py --task ballgame --model gemini3pro
🏆 Leaderboard
Zero-shot evaluation of advanced VLMs on VisWorld-Eval: We report the average accuracy over five tasks (excluding Maze and Sokoban) and over all seven tasks.
| Models | Paper Folding | Multi-Hop Manip. | Ball Tracking | Cube 3-View | MMSI (Pos. Rel.) | Maze | Sokoban | Overall (5 tasks) | Overall (7 tasks) |
|---|---|---|---|---|---|---|---|---|---|
| Gemini 3 Flash | 25.6 | 75.4 | 55.3 | 52.7 | 41.3 | 73.9 | 99.3 | 50.0 | 60.5 |
| Gemini 3 Pro | 27.0 | 74.5 | 44.7 | 53.3 | 49.6 | 33.5 | 90.2 | 49.8 | 53.2 |
| Seed 1.8 | 10.6 | 75.2 | 24.4 | 42.5 | 38.8 | 83.9 | 68.3 | 38.3 | 49.1 |
| GPT 5.1 | 6.4 | 73.9 | 34.8 | 44.5 | 44.8 | 0.6 | 62.8 | 40.8 | 38.2 |
| o3 | 13.5 | 68.1 | 24.7 | 37.7 | 44.4 | 0.0 | 36.0 | 37.6 | 32.0 |
| Qwen3-VL-8B-Thinking | 11.0 | 49.3 | 17.8 | 21.2 | 27.7 | 0.0 | 5.8 | 25.4 | 18.9 |
| BAGEL-7B-MoT | 11.2 | 31.6 | 19.4 | 26.8 | 27.2 | 0.0 | 0.2 | 23.2 | 16.6 |
🚀 Release Progress
- VisWorld-Eval data
- VisWorld-Eval evaluation scripts
📜 Citation
If you find this project useful, please cite our paper as:
@article{wu2026visual,
title={Visual Generation Unlocks Human-Like Reasoning through Multimodal World Models},
author={Jialong Wu and Xiaoying Zhang and Hongyi Yuan and Xiangcheng Zhang and Tianhao
Huang and Changjing He and Chaoyi Deng and Renrui Zhang and Youbin Wu and Mingsheng
Long},
journal={arXiv preprint arXiv:2601.19834},
year={2026},
}
🤝 Contact
If you have any questions, please contact wujialong0229@gmail.com.
💡 Acknowledgement
We sincerely appreciate the following projects for their valuable codebase and task design: SpatialViz, RBench-V, maze-dataset, Game-RL, clevr-dataset-gen, MMSI-Bench.
- Downloads last month
- 356
Size of downloaded dataset files:
1.4 GB
Size of the auto-converted Parquet files:
1.4 GB
Number of rows:
3,946