Question

If a body goes from A to B with velocity V, and returns to A with velocity V, then the

a ) Average speed V= V + V₂

b) Average speed V = V1 + V2 / 2

c) Average speed V= root of V1V2
d) Average velocity V = 0​

Answer 1

Answer:

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