Question

A person travelling on a straight line moves with a uniform velocity v1 for for a distance x and with a uniform velocity v2 for the next equal distance. The average velocity v is given by
(a) v= (v1+v2)/2
(b) v=√v1v2
(c) 2/v=(1/v1+1/v2)
(d) 1/v=(1/v1+1/v2) Concept of Physics - 1 , HC VERMA , Chapter "Rest and Motion : Kinematics

Answer 1

Correct option : C:2/v=(1/v1+1/v2) 
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Explanation:
During first phase, time taken=x/v1
during second phase time taken=x/v2
Total distance=2x
Total time taken= x/v1+x/v2
=x[1/v1+1/v2]
Average velocity=2x/x[1/v1+1/v2]v=2/1/v1+1/v22/v=1/v1+1/v2

Answer 2

Answer:

I hope you understand of this question