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Model the motion of an aging spring by replacing the spring constant k with a decreasing function ke-at, where a is a positive constant and

Model the motion of an aging spring by replacing the spring constant k with a decreasing function ke-at, where a is a positive constant and t is time.

Refine the model of the motion of a spring to account for air friction. Run an experiment with a real spring and mass to determine the lengths at various times and the period. Estimate the spring constant using a system dynamics model.

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