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5. A 2 kg mass stretches a spring 4.9 m. The system is placed in a viscous medium with a damping constant {3 = 6 kgfs. The mass is allowed to come to rest and is then displaced 2 min the downward direction with an initial velocity of 1 mfs also in the downward direction. Use 9 = 9.3 mfs. a) Set up a DB for this situation and fmd the equation of motion. (12 points) b) Is the motion of the mass critically damped= over damped, or under damped? Why? {4 points} it) When, if ever, does the mass pass through the equilibrium position? Is the mass moving up or down at that time? [6 points) {1) Find the time after t=D at which the mass attains its extreme displacement from the equilibrium position. (5 points) it) Use the information above to sketch a reasonable graph of the motion of the mass. (3 points)