3. A ball on Earth is thrown vertically upward from a height of 6 feet with an initial velocity of 15 feet per second. Assume the acceleration due to gravity = -32 feet per second per second. Neglect air resistance. a. Find the height function in terms of time. h"3 (t ) = h'3 (t ) = h'3 (0) = 15; h'3(t) = h3 (t ) = h3 (0) = 6; h3(t) = b. What time does the ball reach maximum height? h'3(c) = 0; c =_ c. Find the maximum height of the ball. h3 (c) = d. How long will it take for the ball to hit the ground? h3 (t) = 0, t = =btvb2-4ac 2a