Atoy rocket is shot vertically into the air from a 6-foot-tall launching pad with an initial velocity of 160 feet per second. suppose the height of the rocket in feet t seconds after being launched can be modeled by the function h left parenthesis t right parenthesis equals negative 16 t squared plus v 0 t plus h 0, where v 0 is the initial velocity of the rocket and h 0 is the initial height of the rocket. how long will it take for the rocket to reach its maximum height? what is the maximum height?