A ball is projected upward from the top of a 144 feet building at a velocity of 64 feet per second. It's path is described by the function h(t) =-16t((t) is squared)+64t+144, where t is the time after the ball is projected and h(t) is the height of the ball at any time t seconds. Find the y intercept and interpret what it means in the context of the problem. Find both x intercepts and interpret what they means. Find the vertex and interpret the coordinates. How long does it take for the object to hit the ground?