Fred is standing on top of a building. He throws a ball up in the air so that it falls down to the ground. The height (ft) of the baseball given time t (sec) after it is thrown is modeled by the function h(t) = -16t^2 + 32t + 225. A) Evaluate h(3) and explain what it means in the context of the problem.
B) What is the maximum height the ball achieves? How long does it take to reach this height?
C) To the nearest 100th of a second, how long does it take for the baseball to reach the ground?
D) How tall is the building?
E) David is looking out a window on the fourth floor which is 120 ft off the ground. How long after Fred throws the ball does David see the ball pass by?