A ball is thrown vertically upward from the ground with speed v0 and is subject to a quadratic drag with magnitude cv2 . a) Show that the maximum height the ball reaches is given by ymax = v 2 ter 2g ln v 2 ter + v 2 0 v 2 ter . b) Show that the speed of the ball when it returns to the ground is given by vterv0 p v 2 ter + v 2 0 . Discuss the case when there is a lot of air resistance, and the case when there is very little.