A 4kg weight is hung vertically from a spring with stiffness k = 1 and suspended in a vat of mysterious fluid which has no friction at all, so the effective damping coefficient is b = 0. The weight still experiences the force of gravity at g ≈ 10m/s. Initially the weight is at the equilibrium distance and has no velocity. How far from equilibrium is the weight after 5 seconds? What is the highest speed reached by the weight?
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