In downhill speed skiing a skier is retarded by both the air dragforce on the bo

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In downhill speed skiing a skier is retarded by both the air dragforce on the body and the kinetic frictional force on the skis.Suppose the slope angle is = 41.0°, the snow isdry snow with a coefficient of kinetic frictionk = 0.0420, the mass of the skier andequipment is m = 85.0 kg, the cross-sectional area of the(tucked) skier is A = 1.60 m2 : the dragcoefficient is C = 0.170, and the air density is 1.20kg/m3. (a) What is the terminal speed?(b) If a skier can vary C by a slightamount dC by adjusting, say, the hand positions, what isthe corresponding variation in the terminal speed? Give your answerin terms of the given values and dC (need derivative forgiven values).

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