A force of 13 N is needed to keep a spring with a 2-kg mass stretched 0.25 m beyond its natural length. The damping constant of the spring is c = 8. If the mass starts at the equilibrium position with a velocity of 0.5 m/s, find its position at time t.
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Position at time t = 0.25 m + 0.5 m/s * t - (13 N / (2 kg * 8)) * e^(-8t)
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