Atoy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 80 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 left parenthesis t right parenthesis equals negative 16 t squared plus 80 t plus 6. how long will it take the rocket to reach its maximum height? what is the maximum height?