Question

A body starts from rest and moves with a constant acceleration 'a'. Show that its instantaneous velocity
varies directly as the square root of the distance covered. Derive the equation to be used.
​

Answer 1

Initial velocity of the body u=0

Let the constant acceleration be a.

Displacement of the body S=ut+

2

1

at

2

∴ S=0+

2

1

at

2

We get S=

2

at

2

Thus, displacement of the body is directly proportional to the square of the time.