PLEASE HELP!!
MEDAL!!
The height of Carl, the human cannonball, is given by h(t)=-16t^2+56t+40 where h is in feet and t is in seconds after the launch.

a.) What was his height at the launch?

b.) What is his maximum height?

c.) How long before he lands in the safety net, 8 feet above the ground?

Question

PLEASE HELP!!
MEDAL!!
The height of Carl, the human cannonball, is given by h(t)=-16t^2+56t+40 where h is in feet and t is in seconds after the launch.

a.) What was his height at the launch?

b.) What is his maximum height?

c.) How long before he lands in the safety net, 8 feet above the ground?

whpalmer4 · Answer

No, the previous poster's advice will lead you astray.

For a), you simply use the formula for $h(t)$ at $t = 0$: calculate $h(0)$ for the initial height at the time of the launch.

b and c) can be solved as suggested.  Note that for c) you'll have two solutions for the value of $t$ which makes $h(t) = 8$, but only one of them will make sense in the context of this problem.