A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 5.8 m/s. The rooftop is a distance above the ground, h = 43 m. Part (a) Find a numerical value for the velocity, vfy (in m/s), with which the ball hits the ground. Part (b) If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity? Part (c) If the height is fixed, but we wanted the ball's final speed to be 32.7 m/s, with what initial velocity viy, would we need to throw it (in m/s)?