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Q.

A body, moving in a straight line, covers half the distance with a speed V, the remaining part of the distance was covered with a speed V1  for half of the time and with a speed  V2 for the other half of the time. What is the average speed of the body?

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a

V(V1+V2)(2V+V1+V2)

b

2V(V1+V2)(2V+V1+V2)

c

2V1V2(V+V1+V2)

d

V1V2(V+V1+V2)

answer is B.

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Detailed Solution

t2=S1V1=S2V2    S1=V1t2     S2 =V2t2 average velocity for the second half=( S1+S2)/t= V1+V22 overall average velocity ∴V=SS2V+SV1+V2=2VV1+V22V+V1+V2
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