What is the average velocity of the object during its course of motion, if its initial and final positions are same?

Explanation

To find the average velocity of an object when its initial and final positions are the same, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Initial and Final Positions**:
- Let the initial position of the object be denoted as \( x_i \).
- Let the final position of the object be denoted as \( x_f \).
- According to the problem, \( x_i = x_f \).

2. **Calculate Net Displacement**:
- The net displacement (\( \Delta x \)) is calculated using the formula:
\[ \Delta x = x_f - x_i \]
- Since \( x_i = x_f \), we have:
\[ \Delta x = x_f - x_f = 0 \]

3. **Understand the Formula for Average Velocity**:
- The formula for average velocity (\( v_{avg} \)) is given by:
\[ v_{avg} = \frac{\text{Net Displacement}}{\text{Total Time}} \]
- Here, we denote the total time of motion as \( t \).

4. **Substitute Values into the Average Velocity Formula**:
- Since the net displacement is zero:
\[ v_{avg} = \frac{0}{t} \]
- Regardless of the value of \( t \) (as long as \( t \) is not zero), the average velocity will be:
\[ v_{avg} = 0 \]

5. **Conclusion**:
- Therefore, the average velocity of the object during its course of motion, when its initial and final positions are the same, is:
\[ v_{avg} = 0 \]

### Final Answer:
The average velocity of the object is \( 0 \).