A ball thrown up from the top of a building is given by the function s(t) = 96t - 16t^2 + 112 where s(t) is the height of the ball in feet above the ground and t is the time in seconds after it is thrown.
a. Find the velocity after 2 seconds
b. Find the acceleration after 2 seconds.
c. For how long will the ball rise?
d. Find the maximum height of the ball.
e. When will the ball hit the gorund?
f. Find the veloctiy with which the ball hits the ground.