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In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass...

In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75cm. The mass is then displaced 36cm upward from its spring-mass equilibrium and then given a sharp downward tap, imparting an instantaneous downward velocity of 0.45m/s. Set up (but do not solve) the initial value problem that models this experiment. Assume no damping is present.

Please show all work and steps clearly so I can follow your logic and learn to solve similar ones myself. I will rate your answer and provide positive feedback. Thank you kindly!

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