LINEAR SECOND ORDER EQUATIONS A 16 lb weight is attached to a spring with natural length 5 ft. With the weight attached, the spring measures 8.2 ft. The weight is initially displaced 3 ft below equilibrium and given an upward velocity of 2 ft/sec. Find and graph its displacement for t > 0 if the medium resists the motion with a force of one lb for each ft/sec of velocity. Also, find its time–varying amplitude.

LINEAR SECOND ORDER EQUATIONS A 16 lb weight is attached to a spring with natural length 5 ft. With the weight attached, the spring measures 8.2 ft. The weight is initially displaced 3 ft below equilibrium and given an upward velocity of 2 ft/sec. Find and graph its displacement for t > 0 if the medium resists the motion with a force of one lb for each ft/sec of velocity. Also, find its time–varying amplitude.