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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

t1/2

b

t¾

c

t3/ 2

d

t2

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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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 :