Question

A football player kicks a ball at a 30o angle from the ground with an initial velocity of 15 m/s. What is the final velocity of the ball when it hits the ground?

Answer 1

Given that,

Angle = 30°

Initial velocity = 15 m/s

We need to calculate the time of flight

Using formula of time of flight

`T=(2u\sin\theta)/(g)`

Where, u = initial velocity

g = acceleration due to gravity

Put the value into the formula

`T=(2*15\sin30)/(9.8)`

`T=1.5\ sec`

We need to calculate the final velocity of the ball

Using equation of motion

`v=u+gt`

`v=15+9.8*1.5`

`v=29.7\ m/s`

Hence, The final velocity of the ball is 29.7 m/s.