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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]

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) May/June 2025 examination, Paper 4 Variant 3. It tests the topic of Mechanics and is worth 7 marks.

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