A body is moving unidirectionally under the influence of a source of constant power. The square of its displacement in time t is proportional to

Question

A body is moving unidirectionally under the influence of a source of constant power. The square of its displacement in time t is proportional to, t 3, t 2, t, t

MARKS App · Accepted Answer

By work-energy theorem, W = P × t = 1 2 m v 2 ⇒ v 2 = 2 P t m v = 2 P t m 1 / 2 or d s d t = 2 P t m 1 / 2 ∫ d s = ∫ 2 P t m 1 / 2 d t s = 2 P m 1 / 2 · 2 3 t 3 / 2 i.e. s ∝ t 3 / 2 s 2 ∝ t 3

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