Question

A baseball is hit so that the height above the ground is given by the equation h=-16t^2+96t+3, where h is the height in feet and t is the time in seconds after it is hit. how long does it take the baseball to reach its highest point? how high will it go?

Answer 1

H'=-32t+96
0=-32t+96
-96=-32t
3=t

3 seconds

H=-16t^2+96t+3
H=48^2+288+3

H=48^2+291