Extra credit: Vertical motion with quadratic drag: Consider an object that is thrown vertically up with initial speed vo in a quadratic medium dv m mg cv2 = dt 0 the initial velocity is vo a) Find the object's velocity v(t) if at time t -0 its position is yo 0 b) Find the object's position y(t) if at time t Find the time for the object to reach its highest point c) d) Find its position ymax at that point in time. Show that in the limit c 0 your results correspond to motion in vacuum e) Find its terminal velocity on the way back to the ground

Extra credit: Vertical motion with quadratic drag: Consider an object that is thrown vertically up with initial speed vo in a quadratic medium dv m mg cv2 = dt 0 the initial velocity is vo a) Find the object's velocity v(t) if at time t -0 its position is yo 0 b) Find the object's position y(t) if at time t Find the time for the object to reach its highest point c) d) Find its position ymax at that point in time. Show that in the limit c 0 your results correspond to motion in vacuum e) Find its terminal velocity on the way back to the ground