An object is launched vertically in the air at 46.55 meters per second from a 6-meter-tall platform. Using the projectile motion model h left parenthesis t right parenthesis equals negative 4.9 t squared plus v 0 t plus h 0 comma where h(t) is the height of the projectile t seconds after its departure, v 0 is the initial velocity in meters per second, and h 0 is the initial height in meters, determine how long it will take for the object to reach its maximum height. What is the maximum height?