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Q.

A body initially at rest is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to :

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a

t¾

b

t1/2

c

t2

d

t3/ 2

answer is C.

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Detailed Solution

P=Fv=mdvdtv;mvdv=P dt    ⇒    v2∝t    ⇒    v∝t1/2    ⇒    x∝t3/2

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