Question

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Answer 1

Let the total distance be d.

Time taken for the first half half distance is t1=2v1d

Time taken for the second half of the distance is t2=2v2d

Mean velocity =total timetotal distance

vmean=2v2d+2v1dd

vmean=v1+v22v1v2

⇒vmean2=v11+v21

Given, vmean=v

⇒v2=v11+v2

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