A 2-kg mass is attached to a spring with stiffness 6 N/m. The damping constant for the system is 4√√3 N-sec/m. If the mass is pulled 20 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain? The general solution is y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) The maximum displacement is meters. (Type an exact answer, using radicals as needed.)

A 2-kg mass is attached to a spring with stiffness 6 N/m. The damping constant for the system is 4√√3 N-sec/m. If the mass is pulled 20 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain? The general solution is y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) The maximum displacement is meters. (Type an exact answer, using radicals as needed.)