A particle travels along a straight line. It covers halg the distance with a speed (v). The remaining part of the distance was covere with speed `v_(1)` for half the time and with speed `v_(2)` for the other half the time . Find the average speed of the particle over the entire motion.

Explanation

To find the average speed of the particle over the entire motion, we can follow these steps:

### Step 1: Define the total distance
Let the total distance traveled by the particle be \( s \). According to the problem, the particle covers half of this distance with speed \( v \) and the remaining half with different speeds.

### Step 2: Calculate time taken for the first half of the distance
For the first half of the distance \( \frac{s}{2} \) covered with speed \( v \):
\[
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