A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 64 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by the function h(t)=-16t²+64t+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 seconds (s) after launch.
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