The average velocity of a particle moving on a straight line is zero in a time interval.
Assertion `:-` It is possible that the instantaneous acceleration is never zero in the interval.
Reason `:-` It is possible that the instantaneous velocity is never zero in the interval.

Options

A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertiion.
C. If Assertion is True but the Reason is False.
D. If both Assertion & Reason are False

Answer

To solve the question, we need to analyze the given assertion and reason in the context of motion.

### Step-by-Step Solution:

1. **Understanding Average Velocity**:
- Average velocity (\( V_{avg} \)) is defined as the total displacement divided by the total time taken.
- If the average velocity is zero over a time interval, it implies that the initial and final positions of the particle are the same.

2. **Analyzing the Assertion**:
- The assertion states that it is possible for the instantaneous acceleration to never be zero during the interval.
- Instantaneous acceleration is defined as the rate of change of velocity at a particular instant.
- Even if the average velocity is zero, the particle can still be accelerating (changing its velocity) throughout the interval. For example, a particle could move back and forth, changing its speed and direction, while returning to the same position. Thus, the assertion is true.

3. **Analyzing the Reason**:
- The reason states that it is possible for the instantaneous velocity to never be zero in the interval.
- Instantaneous velocity is the velocity of the particle at a specific instant. If the particle moves from point A to point B and back to A, there will be moments when the particle is at rest (velocity = 0) when it changes direction.
- Therefore, it is not possible for the instantaneous velocity to never be zero if the particle returns to the same position. Thus, the reason is false.

4. **Conclusion**:
- Since the assertion is true and the reason is false, the correct answer is that the assertion is true and the reason is false.

### Final Answer:
- Assertion: True
- Reason: False
- Therefore, the answer is option C.