STATEMENT - 1 : A positive acceleration of a body can be associated with a slowing down of the body.
and
STATEMENT - 2 : Acceleration is a vector quantity.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
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 solve the problem, we need to analyze both statements provided in the question:

**Statement 1:** A positive acceleration of a body can be associated with a slowing down of the body.

**Statement 2:** Acceleration is a vector quantity.

### Step-by-Step Solution:

1. **Understanding Acceleration:**
- Acceleration is defined as the rate of change of velocity with respect to time. It is a vector quantity, which means it has both magnitude and direction.

2. **Analyzing Statement 2:**
- Since acceleration is a vector quantity, it is true that it has both a direction and a magnitude. Therefore, **Statement 2 is true**.

3. **Analyzing Statement 1:**
- To understand Statement 1, we need to consider the relationship between acceleration and velocity.
- If a body is moving in a certain direction (let's say negative x-direction) and experiences a positive acceleration (in the positive x-direction), the acceleration acts in the opposite direction to the velocity.
- For example, if a particle is moving with a velocity \( v_0 \) in the negative x-direction (represented as \( -v_0 \hat{i} \)) and it has a positive acceleration \( a_0 \) (represented as \( +a_0 \hat{i} \)), the acceleration will reduce the speed of the particle over time.
- Thus, even though the acceleration is positive, the body is slowing down because the acceleration is acting against the direction of the velocity.

4. **Conclusion on Statement 1:**
- Therefore, **Statement 1 is also true** because a positive acceleration can indeed be associated with a slowing down of the body when the acceleration is in the opposite direction to the velocity.

5. **Final Evaluation:**
- Both statements are true, but Statement 2 does not serve as a correct explanation for Statement 1. The correct explanation lies in the relationship between the direction of acceleration and velocity.

### Summary:
- **Statement 1:** True
- **Statement 2:** True
- **Explanation:** Statement 2 is not a correct explanation for Statement 1.