Math 273 Calculus I Towson University 2. (29 points) A rock is thrown straight up in the air from the edge of a roof, 672 feet above the ground, at an initial speed of 16 ft/s. The acceleration due to gravity is 32 ft/s downward. a) (15 points) Find the velocity and position of the rock at the end of t seconds with units. b) (5 points) How high is the rock at the end of 5 seconds? c) (9 points) At what time does the rock hit the ground? 3. (16 points) Oil is leaking out of a tank and the amount of oil A(t) is decreasing according to: A' (t)=-20e 0.05t liters per minute. Find A(t) and how much oil is left in the tank after 1 hr if initially there were 500 liters of oil?