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) = x2/40 (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.