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A-LevelMathematicsDifferential equationsOct/Nov 2019Paper 5 Q69 Marks

A particle P of mass 0.2kg is projected horizontally from a fixed point O on a smooth horizontal surface. When the displacement of P from O is xm the velocity of Pis vms¯¹. A horizontal force of variable magnitude 0.09√x N directed away from O acts on P. An additional force of constant magnitude 0.3 N directed towards O acts on P.

📋 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 Differential equations in A-Level Mathematics (syllabus code 9709). It is worth 9 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2019 examination, Paper 5 Variant 2.

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