Just prior to the Winter Olympics, the Olympic committee must erect a 15-meter 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.