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 travel 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 move with constant velocity and the ball spins about its centre uniformly

Explanation

To solve the question, "A ball is travelling with uniform translatory motion. This means that," we need to understand the concept of uniform translatory motion and its implications.

### 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 equal distances in equal intervals of time.

2. **Uniform Motion**:
- Uniform motion means that the object moves with a constant speed. This implies that the velocity of the object does not change over time.

3. **Uniform Translatory Motion**:
- In the case of uniform translatory motion, not only does the object move with a constant speed, but all parts of the object also move with the same velocity. This means that every point on the ball has the same speed and direction.

4. **Velocity Characteristics**:
- The velocity of the ball is constant in both magnitude (the speed) and direction. This means there are no changes in the speed or the direction of motion of the ball.

5. **Conclusion**:
- Therefore, when we say that a ball is traveling with uniform translatory motion, we conclude that all parts of the ball have the same velocity in both magnitude and direction, and this velocity remains constant throughout the motion.

### Final Answer:
In uniform translatory motion, all parts of the ball have the same velocity in magnitude and direction, and this velocity is constant.

---