A body travels with a speed of `v_1` from A to B and returns with a speed of `v_2` from B to A. Derive an expression for the average speed of the body. What will be the average velocity of the body?

Explanation

To derive the expression for the average speed of the body traveling from A to B and back to A, we can follow these steps:

### Step 1: Define the distances and speeds
Let the distance from A to B be \( S \). The body travels from A to B with a speed of \( v_1 \) and returns from B to A with a speed of \( v_2 \).

### Step 2: Calculate the total distance
The total distance traveled by the body is the distance from A to B and back from B to A:
\[
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