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A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 112 feet

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A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 112 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(1) = - 161%+ 1121 +5. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at second(s) after launch. (Simplify your answer.)

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