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A-LevelMathematicsMechanicsOct/Nov 2018Paper 5 Q48 Marks

A particle P of mass 0.5 kg is projected along a smooth horizontal surface towards a fixed point A. Initially P is at a point O on the surface, and after projection, P has a displacement from O of x m and velocity vms¯¹. The particle P is connected to A by a light elastic string of natural length 0.8 m and modulus of elasticity 16 N. The distance OA is 1.6 m (see diagram). The motion of P is resisted by a force of magnitude 24x² N.

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About This A-Level Mathematics Question

This structured question appeared in the Cambridge A-Level Mathematics (9709) Oct/Nov 2018 examination, Paper 5 Variant 1. It tests the topic of Mechanics and is worth 8 marks.

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