Question

2. A body travels the first half of the total distance with velocity v1 and the second half with velocity v2. Calculate the average velocity.
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Answer 1

Explanation:

Average Velocity = 2V1V2/(V1+V2)

Here is the proof:

Let the total distance be x.

So time taken to cover first half =(x/2)/ v1=x/(2v1)

Time taken to cover second half=(x/2)/ v2=x/(2v2)

Now average velocity=Total Distance/Total time = = x/((x/2v1)+(x/ 2v2)) = 2v1v2/v1+v2