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A 5 kg object is attached to a spring and stretches it 10cm on its own....

A 5 kg object is attached to a spring and stretches it 10cm on its own. There is no damping in the system, but an external force is present, described by the function F(t) = 8 cos ωt. The object is initially displaced 25 cm downward from equilibrium with no initial velocity and the system experiences resonance. Find the displacement of the object at any time t.

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