a toy rocket is launched from a platform that is 48 feet high. the rockets height above the ground is modeled by h=-16t^2+32t+43. find the maximum height of the rocket

find the time it will take for the rocket to reach the ground.

1 answer

If it is lauched from a height of 48 ft, then the equation should be
h = -16t^2+32t+48
I will assume a typo

you want h = 0 (at ground level h=0)
0 = -16t^2+32t+48
t^2-2t-3 = 0

It factors,
(t-3)(t+1) = 0
t = 3 or t = -1, rejecting the negative time

it took 3 seconds