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

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P = constant 1 2 m v 2 = P t ⇒ v ∝ t d x d t = C t C = constant by integration, x = C t 1 2 + 1 1 2 + 1 x ∝ t 3 / 2

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