For the following scenarios, sketch the motion-time graphs (displacement- time, velocity-time and acceleration-time). (a) A ball is thrown up in the air and then caught at the same height. Only sketch from the instant the ball leaves the hand to the instant it touches the hand again. Ignore air resistance. (b) A train travels from Birmingham to Oxford, stopping only at Ban- bury on route. You may assume the journey is in a straight line and it only takes a few minutes of constant acceleration/deceleration to get to its top speed/come to a stop. (c) A football is dropped from a great height (such that it reaches ter- minal velocity); it bounces inelastically such that air resistance can be ignored from this point. Sketch the motion from the moment of release until it hits the ground for a second time.