A machine delivers power to a body which is proportional to velocity of the body. If the body starts with a velocity which is almost negligible, then the distance covered by the body is proportional to
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a
v
b
v23
c
v5/3
d
v2
answer is D.
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Detailed Solution
Power =Fv∝v⇒mvdvdt=kv, where k= constant ⇒mdvdt=k⇒mvdvdx=k⇒vdv=kmdxIntegrating both sides, we get v22=kmxHence, displacement is proportional to the square of instantaneous velocity.