A particle P of mass 0.5 kg is at rest at a point O on a rough horizontal surface. At time t = 0, where t is in seconds, a horizontal force acting in a fixed direction is applied to P. At time t s the magnitude of the force is 0.6t² N and the velocity of P away from O is v m s⁻¹. It is given that P remains at rest at O until t = 0.5.

Q: What topic does this question test?

This question tests Mechanics in A-Level Mathematics (syllabus code 9709). It is worth 9 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Mathematics May/June 2017 examination, Paper 5 Variant 1 (9709_s17_qp_51.pdf).

Question

A particle P of mass 0.5 kg is at rest at a point O on a rough horizontal surface. At time t = 0, where t is in seconds, a horizontal force acting in a fixed direction is applied to P. At time t s the magnitude of the force is 0.6t² N and the velocity of P away from O is v m s⁻¹. It is given that P remains at rest at O until t = 0.5.

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