Q. A body starting from rest moves with uniform acceleration. The distance covered by the body in time $t$ is proportional to
A) $\sqrt{t}$
B) $t^{3/2}$
C) $t^{2}$
D) $t^{3}$
Explanation
(c) Given : Initial velocity of a body $u = 0\ \ \ \ \ \ \ldots(i)$
Let $s$ be the distance covered by a body in time $t$
$\therefore s = ut + \frac{1}{2}\ at^{2}$ or $s = \frac{1}{2}\ at^{2}$ [Using (i)]
$\Rightarrow s \propto t^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.