Problem 2 A railroad car of masse 20000 kg travelling at a velocity v=10 m/s is stopped at the end of the track by a spring-damper system. If the stiffness of the spring is k=40 N/mm and the damping constant c=20 Ns/mm, determine a) the maximum displacement of the car after engaging the springs and damper and b) the time taken to reach the maximum displacement.

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