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A-LevelMathematicsMechanicsMay/June 2019Paper 4 Q47 Marks

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 θ to the horizontal, where sin θ = 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.

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) May/June 2019 examination, Paper 4 Variant 2. It tests the topic of Mechanics and is worth 7 marks.

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