Q 11-05-070JEE MainJEE Main 2024 (5 Apr, Shift 2)Medium
A body is moving unidirectionally under the influence of a constant power source. Its displacement in time $t$ is proportional to
Answer: (B) $t^{3/2}$
Work done $= Pt = \dfrac12mv^2$ (starting from rest), so $v \propto t^{1/2}$.
$$x = \int v\,dt \propto t^{3/2}$$
Solution by Sreeraj P, M.Sc Physics