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A-LevelMathematicsMechanicsMay/June 2025Paper 4 Q37 Marks

The diagram shows a velocity-time graph which models the motion of a particle. The graph consists of 3 straight line segments. The velocity of the particle at time ts after passing a fixed point O is vms⁻¹. The particle leaves O with a velocity of 5 ms⁻¹ and accelerates at 0.75 ms⁻² for 20s. The particle then decelerates for the next 30s. At t = 40, the velocity of the particle is zero. After t = 40, the particle starts to travel back to O, coming to rest at O at time Ts. [Figure with v-t graph]

📋 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 7 marks.

Source

This question appeared in the Cambridge A-Level Mathematics May/June 2025 examination, Paper 4 Variant 3.

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