Question

Distance travelled by a freely falling body is proportional to

• A. Mass of the body
• B. Square of the acceleration due to gravity
• C. Square of the time of fall
• D. Time of fall

Answer 1

The correct option is C Square of the time of fall

From the equations of motion
$s=ut+\frac{1}{2}a{t}^2$
$a=g$

Assume $u=0$
$s=\frac{1}{2}g{t}^2$
From the above equation it is clear that distance travelled is directly proportional to $t^2$