A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. Use a(t) = -32 feet per second per second as the acceleration due to gravity. (Neglect air resistance.)

a) How long will it take the ball to rise to its maximum height? What is the maximum height?

b) After how many seconds is the velocity of the ball one-half the initial velocity?

c) What is the height of the ball when its velocity is one-half the initial velocity?