Body travels the first half of the total distance with velocity v1 and the second half with velocity v2. calculate the average velocity. (1)
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A body covers the first half of the total path with velocity "v1" and the other half with velocity "v2". What is the average velocity (v) of the body?
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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
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