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JEE Main 2020 (5 Sep, Shift 2) · Power

Power question from JEE Main 2020 (5 Sep, Shift 2)

Q33JEE Main 2020 · 5 SEP · SHIFT 2Medium

Power

A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in a straight line. After 9 seconds, the body has moved a distance (in m) _______.

Numerical answer type. Work it out, then open the answer.

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Answer: 18

For constant power from rest, $x = \left(\frac{8P}{9m}\right)^{1/2} t^{3/2}$ .
$x = \sqrt{\frac{8 \times 1}{9 \times 2}} \times 9^{3/2} = \frac{2}{3} \times 27$
$x = 18\text{ m}$

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