A toy rocket is shot vertically into the air from a three-foot-tall launching pad with an initial velocity of 152 ft per second.

A toy rocket is shot vertically into the air from a three-foot-tall launching pad with an initial velocity of 152 ft per second. Suppose the height of the rocket in feet T seconds after being launched can be modeled by the function h t equals - 16t to the second power + V 0 t + H 0, where v-0 is the initial velocity of the rocket and h0 is the initial height of the rocket. How long will it take for the rocket to reach its maximum height what is the maximum height?