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) $t^{2/3}$
D) $t^{2}$
Explanation
(d) The distance covered by a body moving with uniform acceleration is given by
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ s = ut + \frac{1}{2}\ at^{2}$
As body starts from rest, therefore initial velocity $u = 0$
$\therefore$ Distance covered by the body
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ s = \frac{1}{2}\ at^{2}$
Or $\ \ \ \ \ \ \ \ \ \ \ \ s \propto t^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.