A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10m s -2 , with what velocity will it strike the ground? After what time will it strike the Ground?

The ball strikes the ground at 20 m/s after 2 seconds

Explanation:

Free Fall Motion

Any object that is being acted upon only by the force of gravity is said to be in a state of free fall.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is assumed as .

The final velocity of a free-falling object after a time t is given by:

vf=g.t

The distance traveled by a dropped object is:

If we know the height h from which the object was dropped, we can find the time it takes fo hit the ground:

The ball is dropped from a height of h=20 m. The time taken to strike the ground is:

t = 2 s

The velocity at which the ball strikes the ground is:

vf = 10 * 2

vf = 20 m/s

The ball strikes the ground at 20 m/s after 2 seconds