Q 11-05-147JEE MainJEE Main 2021 (20 Jul, Shift 2)Easy
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:
Answer: (A) $t^{\frac32}$
$Pt = \frac12mv^2 \Rightarrow v \propto t^{1/2}$. Then $x = \int v\,dt \propto t^{3/2}$.
Solution by Sreeraj P, M.Sc Physics