A spaceship of length L moves with a speed 7c/12 with respect to the ground. A ball is thrown from the back of the ship to the front. The speed of the ball with respect to the ship is c/3. Apply the Lorentz transformations to find: (a) How much time does the ball spend in the air, as viewed by an observer on the ground.(b) How far does the ball travel as measured by the ground observer. (note: define two events and then apply the Lorentz transformation).