A man walks on a straight road from his home to a market ` 2.5 km` away with a speed of `5 km //h`. Finding the market closed, he instantly turns and walks back with a speed of `7.5 km//h`. What is the (a) magnitude of average velocity and (b) average speed of the man, over the interval of time (i) `0` to 30 min `. (ii) 0 to 50 min (iii) 0 to 40 min ?

Explanation

To solve the problem, we will break it down into steps to find the average velocity and average speed of the man over the specified time intervals.

### Given Data:
- Distance from home to market (A to B) = 2.5 km
- Speed from home to market = 5 km/h
- Speed from market back home = 7.5 km/h

### Step 1: Calculate the time taken to walk from home to the market (A to B).
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