A 2 kg mass is attached to a spring with spring constant k=4 N/m. Suppose the spring has resistance of 6 times the velocity. a) Solve for the position of the mass if the initial position of the mass is 1 meter below equilibrium and the initial velocity is 3−m/s towards equilibrium. b) From your solution above, find the time at which the mass reaches maximum displacement from equilibrium, and the value of the displacement. c) Use the above to sketch the position as a function of time.