Bob throws a ball straight up with an initial speed of 52 feet per second from a height of 7 feet (a) Find parametric equations that describe the motion of the ball as a function of time. (b) How long is the ball in the air? (c) When is the ball at its maximum height? Determine the maximum height of the ball. (d) Simulate the motion of the ball by graphing the equations found in part (a). Assume Bob stands at horizontal position 0, and use g = 32 ft/sec/sec.