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Mathematics (AS & A Level) · May / June 2019 · Paper 42 · Question 4

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A constant resistance to motion of magnitude 350 N acts on a car of mass 1250 kg. The engine of the car exerts a constant driving force of 1200 N. The car travels along a road inclined at an angle of 1 to the horizontal, where sin 1 = 0.05. Find the speed of the car when it has moved 100 m from rest in each of the following cases. • The car is moving up the hill. • The car is moving down the hill. [7] 7

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