A classical mechanics problem by Purushothaman Ganesh

A body is moved along a straight line by a machine that delivers constant power. The distance moved by the body in the time t t is proportional to

t 3 / 4 t^{3/4} t 3 / 2 t^{3/2} t 1 / 2 t^{1/2} t 2 t^2

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