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Q.

A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ‘t’ is proportional to

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a

t1/2

b

t3/4

c

t3/2

d

t1/4

answer is C.

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Detailed Solution

P=Fv=mav=mdvdtv⇒Pmdt=vdv⇒Pm×t=v22⇒v=2Pm1/2(t)1/2 now s=∫vdt=∫2Pm1/2t1/2dt∴s=2Pm1/22t3/23⇒s∝t3/2
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A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ‘t’ is proportional to