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## Homework Statement

A 1/4kg mass is attached to spring with stiffness of 4N/m. The damping constant for the system is 1 N-sec/m. If the mass is displaced 1/2 meter up and given an initial velocity of 1 m/sec upward, find the equation of motion. What is the maximum displacement that the mass will attain??

I don't know how to get started with this. I know the spring equation Fs=-kx. So, Fs would just equal 1 N Kg/m. I just don't know what to do. Any help would be appreciated.