Under what condition is the magnitude of the average velocity of a particle moving in onbe dimension smaller than the average speed over same time interval?

Explanation

To determine the condition under which the magnitude of the average velocity of a particle moving in one dimension is smaller than the average speed over the same time interval, we can analyze the definitions of average velocity and average speed.

### Step-by-Step Solution:

1. **Definitions**:
- **Average Velocity (V_avg)**: It is defined as the total displacement divided by the total time taken.
\[
V_{\text{avg}} = \frac{\text{Total Displacement}}{\text{Total Time}} = \frac{d}{t}
...