A-LevelMathematicsDifferential equationsFeb/Mar 2017Paper 5 Q68 Marks
O and A are fixed points on a rough horizontal surface, with OA = 1 m. A particle P of mass 0.4 kg is projected horizontally with speed U m s⁻¹ from A in the direction OA and moves in a straight line. After projection, when the displacement of P from O is x m, the velocity of P is v m s⁻¹. The coefficient of friction between the surface and P is 0.4. A force of magnitude 0.8/x N acts on P in the direction PO.
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