Question

A child drops a ball from a height of 10 m. Assume that it's velocity increases uniformly at the rate of 10m/s.Find the velocity with which the ball strikes the ground

Answer 1

Given:

• Height,h = 10 m

• Acceleration due to gravity,g = 10 m/s²

• Initial velocity,u = 0 m/s

To be calculated :

Calculate the final velocity with which the ball strikes the ground.

Formula used:

v² = u² + 2gh

Solution:

We know the initial velocity, acceleration due to gravity and height. So, Final velocity can be calculated by using the equation:

v² = u² + 2gh [ For freely falling body ]

★ Substituting the values in the above formula,we get

v² = 0² + 2 × 10 × 10

v² = 0 + 200

v² = 200

v = √200

v = 10√2 m/s

Thus,the final velocity of ball when it hits the ground will be 10√2 metres per seconds.