A particle of mass 1 kg is given a horizontal velocity of 4 m/s along a horizontal surface , with coefficient of friction (both static and kinetic) \(k= 0.4\). The particle strikes a fixed ideal spring of force constant \(m=6\) N/m after traveling a distance of 0.25 m. Assume acceleration due to gravity is 10 m/s\(^2\).

Find the final displacement of the particle from its starting point.

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