An object is launched at an upward velocity of 96 feet per second from the top of a building 160 feet above the ground. Use the vertical motion model h=-16t²+vt+c where h is the ending height of the object, c is the initial height, in feet, of the object, t is the time in seconds, and v is the velocity of the object.
How long will it take the object to reach the maximum height and what is the maximum height?