Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula

h (t) = -16t2 + 64t + 80.

*NOTE: Complete this without using graphing features on your calculator, and show all work for credit (you may type out your work or upload it in the next question.

a. What is the maximum height reached by the ball?

b. When did the ball reach its maximum height?

c. When will the ball hit the ground? (Do algebraically)

d. What is the height of the ball after 1 second?