Question

Question 4
If the displacement of an object is proportional to square of time, then the object moves with
(a) uniform velocity
(b) uniform acceleration
(c) increasing acceleration
(d) decreasing acceleration

Answer 1

From Newton's second equation of motion, we have $s=ut+\frac{1}{2}a{t}^2$, where $u$ is the initial velocity, $v$ is the final velocity, $a$ is the acceleration, $t$ is the time taken and $s$ is the displacement.
For zero initial velocity, when $s\propto t^2$ then acceleration remains constant.
Therefore, if the displacement of an object is proportional to square of time, then the object moves with uniform acceleration.