A body moving along a straight line, covers first half of its distance with uniform speed V1 and the second half of the distance with uniform speed V2 then average speed of body is
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a
V1+V2
b
2V1V2V1+V2
c
V1V2V1+V2
d
V1V2
answer is B.
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Detailed Solution
Let us consider total distance is ‘S’ First half distance is S/2 with speedV1 Second half distance is S/2 with speed V2 average speed=total distancetotal time=St1+t2t1 is the time trave forl the distance S/2V1=S2t1 ∴t1=S2V1; t2=S2V2 Average speed =SS2V1+S2V2=SSV2+V12V1V2=2V1V2V1+V2