Mathematics (AS & A Level) · May / June 2019 · Paper 42 · Question 6

A car has mass 1000 kg. When the car is travelling at a steady speed of v m s−1, where v > 2, the resistance to motion of the car is Av + B N, where A and B are constants. The car can travel along a horizontal road at a steady speed of 18 m s−1 when its engine is working at 36 kW. The car can travel up a hill inclined at an angle of 1 to the horizontal, where sin 1 = 0.05, at a steady speed of 12 m s−1 when its engine is working at 21 kW. Find A and B. [7] 11

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