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A-LevelMathematicsMechanicsMay/June 2021Paper 4 Q511 Marks

A car of mass 1250 kg is pulling a caravan of mass 800 kg along a straight road. The resistances to the motion of the car and caravan are 440 N and 280 N respectively. The car and caravan are connected by a light rigid tow-bar. (a) The car and caravan move along a horizontal part of the road at a constant speed of 30 m s⁻¹. (b) The car and caravan now travel along a part of the road inclined at sin⁻¹ 0.06 to the horizontal. The car and caravan travel up the incline at constant speed with the engine of the car working at 28 kW.

📋 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 11 marks.

Source

This question appeared in the Cambridge A-Level Mathematics May/June 2021 examination, Paper 4 Variant 2.

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