Yesterday at baseball practice the guys decided to measure their throws. A smartie on
the team determined that the throw could be modeled by the equation,
h(t) = -16t² + 112t + 5, where h represents the height from the ground and t represents
the time in air.

a. What is the starting height of the ball?

b. How long is the ball in the air before it hits the ground?

c. What is the maximum height of the ball?

d. At what time will the maximum height occur?

e. Use your answers to graph the function.