Coordinate System


Just prior to the Winter Olympics, the Olympic committee must erect a 15meter ski jump. If the jump is not sturdy enough, the force of the skier could cause the jump to collapse.
What is known:
 The shape of the ski jump is described by the equation
y = f(x) = x^{2}/40 (m)
 The largest contestant has a total mass of 90 kg, including equipment.
 The skier starts from rest at a height of 15 m.
 Friction and the size of the skier and skis may be ignored.
