# Displacement

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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