STATEMENT - 1 : A particle is thrown by a man from ground. Minimum speed of the particle in the subsequent motion may not be zero. (Air resistance is neglected).
and
STATEMENT - 2 : Acceleration of the particle is never zero during the motion of the particle

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-4
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-4
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To solve the question, we need to analyze both statements provided:

### Step 1: Analyze Statement 1
**Statement 1**: "A particle is thrown by a man from the ground. Minimum speed of the particle in the subsequent motion may not be zero. (Air resistance is neglected)."

- When a particle is thrown upwards, it will rise to a certain height and then come to a stop momentarily at its peak height before falling back down.
- At the peak height, the speed of the particle is zero. After reaching the peak, it will start to fall back down, gaining speed due to gravity.
- Therefore, the minimum speed of the particle during its motion is indeed zero (at the peak).

**Conclusion for Statement 1**: This statement is **false**.

### Step 2: Analyze Statement 2
**Statement 2**: "Acceleration of the particle is never zero during the motion of the particle."

- The only force acting on the particle (neglecting air resistance) is gravity, which provides a constant acceleration downwards, denoted as \( g \).
- This acceleration acts on the particle throughout its entire motion, both when it is moving upwards and when it is falling downwards.

**Conclusion for Statement 2**: This statement is **true**.

### Final Conclusion
- **Statement 1** is false because the particle does reach a minimum speed of zero at its peak.
- **Statement 2** is true because the acceleration due to gravity is always present.

### Final Answer
- Statement 1 is false, and Statement 2 is true.

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