Question

A fountain shoots water from a nozzle at its base. The height h, in feet, of the water above the ground t seconds after it leaves the nozzle is given by the function h(t) = –16t2 + 17t + 8. What is the maximum height of the water? Round to the nearest tenth.
______________ft

Answer 1

recall that in the general quadratic, max y occurs at x = -b/2a. In this case, when t = 17/32.

Just plug that in to get maximum h.

Answer 2

801/64