A toy rocket is shot vertically into the air from a launching pad 4 feet above the ground with an initial velocity of 128 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 )equals negative 16 t squared plus 128 t plus 4. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at nothing second(s) after launch. (Simplify your answer.) The maximum height reached by the object is 4 4 feet. (Simplify your answer.)