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Q.

A person travels along a straight road for the first half time with a velocity v1, and the second half time with a velocity v2. Then the mean velocity v is given by

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a

V¯=V1+V22

b

2V¯=1V1+1V2

c

V-=V1V2

d

V-=V2V1

answer is A.

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Detailed Solution

Let for the first half time f, the person travels a distance s1. Hencev1=S1t  or  S1=V1tFor second half time, V2=S2t  or  S2=V2tNow,  V= Total displacement  Total time =s1+s22t=V1t+V2t2t=V1+V22
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A person travels along a straight road for the first half time with a velocity v1, and the second half time with a velocity v2. Then the mean velocity v is given by