Q 11-04-074JEE MainJEE Main 2024 (4 Apr, Shift 1)Medium
A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time $t$. Which of the following curves best describes the acceleration of the block with time?
Answer: (D) see figure
Neglecting friction with the ground, $F = kt$ acts on the block of mass $m$:
$$a = \frac{F}{m} = \frac{k}{m}\,t$$
So $a$ is proportional to $t$: a straight line through the origin, graph (D).
Solution by Sreeraj P, M.Sc Physics