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A snowboarder of mass 70 kg (including the mass of the snowboard) is approaching an uphill...

A snowboarder of mass 70 kg (including the mass of the snowboard) is approaching an uphill section on a snowy trail. Her speed as she passes point A is 23 m/s and she rises a vertical height of 10 meters to point B where the trail flattens. The distance traveled between A and B is 150 m.

a) If the average kinetic friction force on the snowboarder between point A and point B is 30 N, what is the thermal energy generated in going from A to B?

b) With what speed does she pass point B?

c) If she naturally comes to a stop after cruising for 85 m past point B, what is the coefficient of kinetic friction between the board and the snow? (Note that the frictional force is not the same in the flat part and the slope part, due to the angles of the slope)

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In part c I have found value of friction from energy conservation and it's found to be little varying from given average value

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