2. A ball on Mars is thrown vertically upward from a height of 6 feet with an initial velocity of 30 feet per second. Assume the acceleration due to gravity = -12 feet per second per second. Neglect air.resistance. a. Find the height function in terms of time. h " 2 (t ) = h 2 (t ) = h'2 (0) = 30; h'2(t) =_ h2 (t ) = h2 (0) = 6; h2(t) = b. What time does the ball reach maximum height? h'2(c) = 0, c= c. Find the maximum height of the ball. h2 ( c ) = d. How long will it take for the ball to hit the ground? h2(t) = 0, t = =btvb2-4ac 2a