1. A ball is thrown upwards with a velocity of 32 ft/sec from the top of a building. The height of the ball, s, in feet can be modeled by s(t) = -16(t + 3) (t-5) or s(t) = -16(t - 1)^2 or s(t) = -16t^2 + 32t + 240 where t is greater than or equal to zero in seconds.
a. Write the form that is most useful when finding the maximum height of the ball.
s(t) = __
b. What is the max height of the ball? ___ When did it occur? ___
c. Write the form that is most useful when finding the time the ball was in the air.
s(t) = __
d. How long was the ball in the air?
e. What is the height of the building?