Consider a mass-spring-dashpot system in which the mass is m=6lb-sec²/ft, the damping constant is c=60lb-sec/ft, and the spring constant is k=150lb/ft. The motion is free damped motion and the mass is set in motion with initial position x₀=7ft and initial velocity v₀=-39ft/sec. Find the position function x(t) and determine whether the motion
