Question

An object starts from rest and moves with uniform acceleration. The displacement of the object is proportional to ___ of time.

• A. thrice
• B. quad
• C. square
• D. twice

Answer 1

The correct option is C square

Let 'u' be the initial velocity, 't' be the time taken, 's' be the displacement and 'a' be the acceleration.
From second equation of motion, we know, $s=ut+\frac{1}{2}a{t}^2$
Since the object starts from rest, u = 0
Therefore, $s=\frac{1}{2}a{t}^2$
The motion is uniform accelerated motion. Therefore 'a' is constant.
$\Rightarrow s\propto t^2$