An object moves at constant speed in a circular path. True statement about the motion include which of the following
I. the velocity is constant.
II. The acceleration is constant.
III. The net force on the object is zero since its speed is constant.

Options

A. II only
B. I and III only
C. II and III only
D. NONE

Explanation

To solve the question, we need to analyze each of the statements given regarding the motion of an object moving at a constant speed in a circular path.

### Step 1: Analyze Statement I
**Statement I: The velocity is constant.**

- In circular motion, even if the speed (magnitude of velocity) is constant, the direction of the velocity vector is continuously changing. Since velocity is a vector quantity that depends on both magnitude and direction, the change in direction means that the velocity is not constant.

**Conclusion**: This statement is **false**.

### Step 2: Analyze Statement II
**Statement II: The acceleration is constant.**

- For an object moving in a circular path at constant speed, the acceleration is not constant in magnitude or direction. The acceleration is directed towards the center of the circular path (centripetal acceleration), and its direction changes as the object moves around the circle. Therefore, the acceleration is not constant.

**Conclusion**: This statement is **false**.

### Step 3: Analyze Statement III
**Statement III: The net force on the object is zero since its speed is constant.**

- In circular motion, even if the speed is constant, there is a net force acting on the object directed towards the center of the circular path (centripetal force). This force is necessary to keep the object moving in a circle. If there were no net force, the object would move in a straight line according to Newton's first law of motion.

**Conclusion**: This statement is **false**.

### Final Conclusion
Since all three statements are false, the correct answer is that **none of the statements are true**.

### Summary of the Solution
- Statement I: False (velocity changes due to changing direction).
- Statement II: False (acceleration changes direction).
- Statement III: False (net force is not zero; centripetal force is present).
- Therefore, the answer is that none of the statements are true.