I need help with the steps of this problem. A skier goesoff a ski jump at an ang

Question

I need help with the steps of this problem. A skier goesoff a ski jump at an angle of 10 degrees below the horizontaltraveling at 108 meters horizonally and 55 meters vertically beforelanding. a. ignoring friction and aerodynamic effects, determinethe speed needed by the skier on leaving the ramp. b. olympic jumpers can make such jumps with a jump speedof 23.0 m/s, which is considerably less than the answer in parta. Explain how this is possible. Earlier help provided an answer of 32.32 m/s. I get 32.5m/s. The answer provided in the back of the book is 40.5m/s. Can anyone work this problem and explain the steps thatgets to the answer in the book? I need help with the steps of this problem. A skier goesoff a ski jump at an angle of 10 degrees below the horizontaltraveling at 108 meters horizonally and 55 meters vertically beforelanding. a. ignoring friction and aerodynamic effects, determinethe speed needed by the skier on leaving the ramp. b. olympic jumpers can make such jumps with a jump speedof 23.0 m/s, which is considerably less than the answer in parta. Explain how this is possible. Earlier help provided an answer of 32.32 m/s. I get 32.5m/s. The answer provided in the back of the book is 40.5m/s. Can anyone work this problem and explain the steps thatgets to the answer in the book?

Explanation / Answer

According to conservation of mechanical energy wehave    initial kinetic enrgy + initial potential energy= final kinetic enrgy + final potential energy ==> 0 - 0.5mv2 = - V = - (0 -mgh)            v = 2gh = 32.82 m/s Horizontal componet of velocity = v cos10o =32.32 m/s Yes it is considerably less than the answer in parta.

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