You are designing a ski jump ramp for the next winter olympics. You need to calculate the vertical height h from the starting gate to the bottom of the ramp. The skiers push off hard with their skipoles at the start, just above the starting gate so they typically have a speed of 2.0 m/s as they reach the gate. For safety, the skiers should have a speed of no more than 30.0 m/s when they reach the bottom ofthe ramp. You determine that for an 85.0 kg skier with good form, friction and air resistance will do a total work of magnitude 4000 J on him during his run down the slope. What is the maximum height h for which the maximum safe speed will not be exceeded?

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