What is the hang time of a football ball ? When a football player punts a footbal, he hopes for a long "hang time".

A time longer than 4.5 seconds is considered good.

The height of the ball in feet after t seconds can be modeled by the following function :

H(t) =at2 +Vt+ h

Where V is the initial velocity of the ball and h the initial height of the ball.

We suppose than a punter kicks the ball with an upward velocity of 80 feet per second and his foot meets the ball 2 feet off the ground/

The height of the ball is 98 feet after 2 seconds.

1) What is the hang time of the ball ?

2) Conclude

3) How could the football player increase his "hang time " ?

Thanks for your answers