A ball is travelling with uniform translatory motion . This means that

Options

A. it is at rest
B. the path can be straight line or circular and the ball travels with uniform speed
C. all parts of the ball have the same velocity (magnitude and direction ) and the velocity is constant
D. the centre of the ball moves with constant velocity and the ball spins about its centre uniformly

Explanation

To solve the question regarding the meaning of a ball traveling with uniform translatory motion, we can break it down step by step:

### Step-by-Step Solution:

1. **Understanding Translatory Motion**:
- Translatory motion refers to the motion of an object in which all parts of the object move in the same direction and cover the same distance in a given time.

2. **Uniform Motion**:
- Uniform motion means that the object moves with a constant speed. This implies that the velocity (which includes both speed and direction) does not change over time.

3. **Combining the Concepts**:
- When we say a ball is traveling with uniform translatory motion, it means that every point on the ball is moving with the same speed and in the same direction.

4. **Implications of Uniform Translatory Motion**:
- Since all parts of the ball have the same speed and direction, the velocity of the ball is constant. This means there are no changes in speed or direction as it moves.

5. **Conclusion**:
- Therefore, the correct interpretation of a ball traveling with uniform translatory motion is that all parts of the ball have the same magnitude and constant velocity.

### Final Answer:
The correct option is that all parts of the ball have the same magnitude and constant velocity.

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