The height of a football after it has been kicked from the top of a hill can be modeled by the equation h = 2(4 − 4t)(2t + 5), where h is the height of the football in feet and t is the time in seconds. how long is the football in the air?

Respuesta :

the maximum time  1.75 second in case of not having the height:
1. change in ax²+bx+c form⇆ -16t²+56t-40=h
h=(8-8t)(2t-5)
h=16t-40-16t²+40t
h=-16t²+56t-40
2. t max=-b/(-2a)=-56/(-2×-16)=1.75 second