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(Undamped system) An iron ball of mass 10kg is attached to a spring having a spring...

(Undamped system)

An iron ball of mass 10kg is attached to a spring having a spring constant of 3.6N/m. The ball is started in motion from rest (i.e., initial velocity is zero) by stretching the spring 0.7m from the equilibrium position with an exerted force f(t)=6.8e-t Assume there is no air resistance.

a) Find the position of the ball as a function of time.

b) Determine how far from the equilibrium position the ball will be after 15 seconds.

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