A toy rocket is shot vertically into the air from a launching pad 4 feet above the ground with an initial velocity of 152 feet

Question

A toy rocket is shot vertically into the air from a launching pad 4 feet above the ground with an initial velocity of 152 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)= - 16t² + 152t + 4. How long will it take the rocket to reach its maximum height? What is the maximum height?

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