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A-LevelMathematicsMechanicsMay/June 2022Paper 4 Q58 Marks

A cyclist is riding along a straight horizontal road. The total mass of the cyclist and her bicycle is 70kg. At an instant when the cyclist's speed is 4ms⁻¹, her acceleration is 0.3 ms⁻². There is a constant resistance to motion of magnitude 30N. The cyclist comes to the top of a hill inclined at 5° to the horizontal. The cyclist stops pedalling and freewheels down the hill (so that the cyclist is no longer supplying any power). The magnitude of the resistance force remains at 30N. Over a distance of dm, the speed of the cyclist increases from 6ms⁻¹ to 12 ms⁻¹.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Mathematics Question

Topic

This structured question tests Mechanics in A-Level Mathematics (syllabus code 9709). It is worth 8 marks.

Source

This question appeared in the Cambridge A-Level Mathematics May/June 2022 examination, Paper 4 Variant 3.

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