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Q.

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
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