Average acceleration is in the direction of .

Options

A. Initial velocity
B. Finial velocity
C. Change in velocity
D. Final velocity if initial velocity is zero.

Explanation

To solve the question regarding the direction of average acceleration, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Average Acceleration**:
Average acceleration is defined as the change in velocity over a time interval. Mathematically, it can be expressed as:
\[ \text{Average Acceleration} (a_{avg}) = \frac{\Delta v}{\Delta t} \]
where \(\Delta v\) is the change in velocity and \(\Delta t\) is the time interval.

2. **Identify the Change in Velocity**:
The change in velocity (\(\Delta v\)) is calculated as:
\[ \Delta v = v_f - v_i \]
where \(v_f\) is the final velocity and \(v_i\) is the initial velocity.

3. **Determine the Direction of Average Acceleration**:
Since average acceleration is derived from the change in velocity, its direction is the same as the direction of the change in velocity. Therefore, the average acceleration points in the direction of \(\Delta v\).

4. **Evaluate the Options**:
Given the options:
- A) Initial velocity
- B) Final velocity
- C) Change in velocity
- D) Velocity

We can conclude:
- The direction of average acceleration is the same as the direction of the change in velocity (\(\Delta v\)).
- Thus, option C (Change in velocity) is correct.
- Additionally, since average acceleration is also related to final velocity when initial velocity is zero, option B (Final velocity) can also be considered correct in this specific case.

5. **Final Conclusion**:
Therefore, the average acceleration is in the direction of the change in velocity (option C) and, under the condition of initial velocity being zero, also in the direction of final velocity (option B).