Choose the wrong statement.

Options

A. Zero velocity of a perticle does not necessarily mean that its acceleration is zero
B. Zero acceleration of a particle does not necessarly mean that its velocity is zero
C. If speed of a particle is constant, its acceleration must be zero
D. None of these

Answer

To solve the question of choosing the wrong statement regarding velocity and acceleration, we can analyze the statements one by one.

### Step-by-Step Solution:

1. **Understanding Zero Velocity**:
- The first statement claims that "zero velocity of a particle does not necessarily mean that its acceleration is zero."
- This is true. A particle can have zero velocity at a specific moment but still be accelerating. For instance, at the highest point of a projectile's motion, the velocity is zero momentarily, but the acceleration due to gravity is still acting on it.

2. **Understanding Zero Acceleration**:
- The second statement claims that "zero acceleration of a particle does not necessarily mean that its velocity is zero."
- This is also true. If the acceleration is zero, it means the velocity is constant, which could be any value (including non-zero). For example, a car moving at a constant speed of 60 km/h has zero acceleration.

3. **Understanding Constant Speed**:
- The third statement claims that "if the speed of a particle is constant, then its acceleration must be equal to zero."
- This is correct. If the speed is constant, there is no change in velocity, which means the acceleration (the rate of change of velocity) is zero.

4. **Conclusion**:
- All the statements analyzed are true, but the question asks for the wrong statement. The first statement is misleading because it implies that zero velocity guarantees zero acceleration, which is not true. Therefore, the answer to the question is that the first statement is the wrong one.

### Final Answer:
The wrong statement is: "Zero velocity of a particle does not necessarily mean that its acceleration is zero."