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Ski Jump Problem (projectile)

At time t = 0 a skier leaves the end of a ski jump with a speed of Vo feet per second at angle alpha with the horizontal. Position vector of the skier is represented by the vector : r(t) = [Vo (cos theta) t] i + [h + (Vo sin theta) t - 1/2gt^2] j
The skier lands 259 feet down the incline 2.9 seconds later. (g = 32 ft. per sec^2)

a) Approximate Vo and angle alpha.

b) Express the distance traveled by the skier in the form of an integral (the integral need not be evaluated).


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