The stunt is performed by a guy who claims to have invented a zero-friction material. If he’s right, all of the jumper’s gravitational potential energy at the top of the slope is turned into the kinetic energy of his motion at the end of the ramp. Make some assumptions and try to calculate the velocity vector of the jumper at the end of the ramp – compare your findings with the gravitational potential energy available and decide if it is at least theoretically possible to perform such a cunning stunt. If so, how much higher should the start point be, above the take-off point?
This is a worked solution to a problem involving the firing of a missile from a moving helicopter. It analyses motion vectors into orthogonal component vectors, then uses these results to answer the question “where will the missile land?”. The problem as posed was: A helicopter travelling at an angle of 10 up from the horizontal at a speed of 70 fires a missile at 150 . Calculate the horizontal and vertical components of the velocity of the helicopter and the missile. If the helicopter launches the missile at a height of 200 m, how far away does the missile land?
Part 1 of a worked solution to the following problem:
A golf ball is driven at an angle of 30 degrees to the horizontal at a speed of 12 metres per second. Calculate the horizontal and vertical components of the velocity and thereby the maximum height of the ball, the time of flight and the distance travelled when it lands.
up from the horizontal at a speed of 70 
fires a missile at 150 
