Question

A body starting from rest moves with uniform acceleration. The distance covered by the body in time t is proportional to:
A) t^(1/2)
B) t^(3/2)
C) t^(2)
D) t^(1)

Answer 1

Answer:

Since the Distance travelled is equal to 1/2 × a × t²...

Therefore the correct option would be t²

So option C is correct

Have a good day mate

Answer 2

Answer:

The distance covered by the body in time t is proportional to $t^{2}$.

Explanation:

Given a body starting from rest, therefore initial velocity, $u=0$

          let the uniform acceleration be $a$

Using the equation of motion,

                 $s=ut+\frac{1}{2} at^{2}$

the distance covered by the body is

                 $s=0 \times t+\frac{1}{2} at^{2}$

                    $=\frac{1}{2} at^{2}$

          $\implies s \propto t^{2}$

Therefore the distance covered is proportional to $t^{2}$.