An 8-lb weight is attached to a spring hanging from the ceiling. when the weight comes to rest at equilibrium, the spring has been strtched 2 ft. the damping constant for the system is 1 lb-sec/sec. if the weight is raised 6 in. above equilibrium and given an initial upward velocity of 1ft/sec,
a) Determine the equation of motion for the weight.
b) Find out the maximum displacement ablove the equilibrium that the weight will attain?