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JEE Main 2021 (20 Jul, Shift 2) · Power

Power question from JEE Main 2021 (20 Jul, Shift 2)

Q26JEE Main 2021 · 20 JUL · SHIFT 2Easy

Power

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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Answer: (a)

Constant power: $mv\dfrac{dv}{dt} = P \Rightarrow v^2 = \dfrac{2P}{m}t$ , so $v \propto t^{1/2}$ .
$s = \int_0^t v\,dt \propto t^{3/2}$
So the answer is (a) $t^{3/2}$ .

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