A body, starting from 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

Question

A body, starting from 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, t 1 / 2, t 3 / 4, t 3 / 2, t 1 / 4

MARKS App · Accepted Answer

Power, P = F v = c o n s t a n t Or m a a t = c o n s t a n t Or a 2 t = c o n s t a n t ⇒ a ∝ 1 t ....... (1) Now, S = 2 a t 2 ∵ u = 0 ⇒ S ∝ a t 2 ∴ S ∝ t 2 t [Using (1)] ⇒ S ∝ t 3 / 2

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