1) 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^2 + 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.
A. Find the y-intercept and interpret what it means in the context of the problem
B. Find both x-intercept and interpret what they mean in the context of the problem
C. Find the vertex and interpret the coordinates in the context of the problem
D. How long does it take for the object to hit the ground?