STATEMENT - 1 : Zero velocity of a particle does not mean zero acceleration.
and
STATEMENT - 2 : The moment at which velocity is zero, its rate of change may be non-zero.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-3
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To analyze the statements provided, we can break down the reasoning step by step:

### Step 1: Understanding Statement 1
**Statement 1:** "Zero velocity of a particle does not mean zero acceleration."

- **Explanation:** This statement implies that even if a particle's velocity is zero at a particular moment, it can still have a non-zero acceleration. This is a fundamental concept in physics, particularly in kinematics.

### Step 2: Exploring an Example
To illustrate this concept, consider a particle that is thrown vertically upward.

- **Example:** When a particle is projected upwards with an initial velocity \( u \), it will rise until it reaches its highest point. At this highest point, the particle's velocity becomes zero momentarily.

### Step 3: Analyzing Acceleration at the Highest Point
At the highest point, we need to analyze the acceleration of the particle.

- **Force Acting on the Particle:** The only force acting on the particle during its upward motion is gravity, which exerts a downward force equal to \( mg \) (where \( m \) is the mass of the particle and \( g \) is the acceleration due to gravity).

- **Acceleration Calculation:** The acceleration \( a \) can be calculated using Newton's second law:
\[ a = \frac{F}{m} = \frac{mg}{m} = g \]
Thus, the acceleration at the highest point is \( g \) directed downward.

### Step 4: Conclusion for Statement 1
Since the particle has zero velocity at the highest point but a non-zero acceleration (equal to \( g \)), we conclude that:

- **Statement 1 is True.**

### Step 5: Understanding Statement 2
**Statement 2:** "The moment at which velocity is zero, its rate of change may be non-zero."

- **Explanation:** This statement reinforces the idea that at the instant when velocity is zero, the rate of change of velocity (which is acceleration) can still be non-zero.

### Step 6: Linking Statements
- Since we have established that at the highest point of the upward motion, the particle's velocity is zero, but its acceleration is \( g \) (non-zero), we can conclude that:

- **Statement 2 is also True** and serves as a correct explanation for Statement 1.

### Final Conclusion
Both statements are true, and Statement 2 correctly explains Statement 1. Therefore, the correct answer is that both statements are true, and Statement 2 is the correct explanation for Statement 1.

---