The correct statement from the following is

Options

A. A body having zero velocity will not necessarily have zero acceleration.
B. A body having zero velocity will necessarily have zero acceleration.
C. A body havinf uniform speed can have only uniform acceleration.
D. A body having nonuniform velocity will have zero acceleration.

Answer

To determine the correct statement from the given options, let's analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement 1: A body having zero velocity will not necessarily have acceleration.**
- This statement is **true**. A body can have zero velocity at a specific moment (for instance, at the peak of its trajectory in projectile motion) but still have acceleration due to gravity acting on it. Thus, it is possible for a body to have zero velocity while experiencing non-zero acceleration.

2. **Statement 2: A body having zero velocity will necessarily have zero acceleration.**
- This statement is **false**. As explained in the first statement, a body can have zero velocity while still having a non-zero acceleration. For example, at the highest point of a projectile's motion, the velocity is zero, but the acceleration due to gravity is acting downward.

3. **Statement 3: A body having uniform speed can have only uniform acceleration.**
- This statement is **false**. Uniform speed means that the magnitude of the velocity is constant, but the direction can change. If the direction changes (as in circular motion), the velocity is changing even though the speed is constant, which means there is acceleration (centripetal acceleration), and it is not uniform.

4. **Statement 4: A body having non-uniform velocity will have zero acceleration.**
- This statement is **false**. Non-uniform velocity means that the velocity is changing (either in magnitude or direction or both). If the velocity is changing, then there must be some acceleration present. Therefore, a body with non-uniform velocity cannot have zero acceleration.

### Conclusion:
The only correct statement is **Statement 1: A body having zero velocity will not necessarily have acceleration.**