A particle moves on a straight line in such way that it covers 1st half distance with speed 3m`//`s and no half distance in 2 equal time intervals with speeds 4.5 m/s and 7.5 m`//`s respectively. Find average speed of the particle.

Explanation

To find the average speed of the particle that moves along a straight line, we can break down the problem into steps:

### Step 1: Define the total distance
Let the total distance covered by the particle be \( s \). The particle covers the first half of this distance, which is \( \frac{s}{2} \), and then the second half, also \( \frac{s}{2} \).

### Step 2: Calculate the time taken for the first half
The speed for the first half of the distance is given as \( 3 \, \text{m/s} \). The time taken to cover the first half can be calculated using the formula:
\[
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