Assertion : A particle may be momentarily at rest and yet have non-zero acceleration.
Reason : The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant.

Options

A. If both assertion and reason are trure and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanations of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason is false

Explanation

To analyze the question, we need to evaluate the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "A particle may be momentarily at rest and yet have non-zero acceleration."
- This means that even if the velocity of a particle is zero at a specific moment, it can still be accelerating.

2. **Understanding the Reason**:
- The reason states that "The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant."
- This indicates that just because a particle's velocity is zero at a certain moment, it does not mean that the acceleration must also be zero at that moment.

3. **Example to Illustrate**:
- Consider a car that is moving with an initial velocity (u) of 3 m/s and comes to a stop (final velocity, v = 0 m/s) after a certain time (t).
- We can use the equation of motion:
\[ v = u + at \]
- Rearranging this gives us:
\[ a = \frac{v - u}{t} \]
- Plugging in the values, we have:
\[ a = \frac{0 - 3}{t} = -\frac{3}{t} \, \text{m/s}^2 \]
- If we assume t = 5 seconds, then:
\[ a = -\frac{3}{5} = -0.6 \, \text{m/s}^2 \]
- Here, the car is momentarily at rest (v = 0), but the acceleration is non-zero (a = -0.6 m/s²).

4. **Conclusion**:
- Since both the assertion and the reason are true, and the reason provides a correct explanation for the assertion, we conclude that the assertion is correct and the reason is also correct.

### Final Answer:
Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.