Question

To win the game, a place kicker must kick a football from a point 21 m (22.9656 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 16 m/s at an angle of 55.3◦ from the horizontal. The acceleration of gravity is 9.8 m/s^2 By how much vertical distance does the ball clear the crossbar? Answer in units of m

Answer 1

In projectile horizontal distance is given by :

`h = (u^2sin^ 2\theta)/(2g)`

Putting all given values, we get :

`h = (u^2sin^ 2\theta)/(2g)\\\\h=(16^2* sin^2 \ 55.3^o)/(2* 9.8)\\\\h=13.1\ m`

Therefore, maximum height of football is 13.1 m.

Hence, this is the required solution.