You have obtained a job with a company that has been given the contract to design the ski jump for the sochi winter olympics. the track is coated with snow and has an angle of 25 from the horizontal. a skier vaults out of the the ski jump gate leaving it at high speed. the winner is the person who jumps the farthest after leaving the end of the ramp. your task is to determine the height of the starting gate above the end of the ramp which will assist with determining the mechanical design of the ski jump facility. you have been told that the typical ski-jumper pushes off from the starting gate at a speed of 5.0 m/s. for safety reasons, the design of the track is made such that for a perfect run, the speed of the skier leaving the end should be no more than 80 km/hr, have some upward trajectory and no sudden changes in angle. you run some experiments on various skis and aerodynamic suits and determine that the coefficient of friction between the snow and the skis as well as air resistance are small enough to be neglected.