Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet. a. find parametric equations that model 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? d. determine the maximum height of the ball. e. using microsoft mathematics or any other graphing facility, simulate the motion of the ball by graphing the equation found in part (a.) what do you observe? f. what did you learn from doing this exercise?