using the model for a vibrating spring with damping, find the motion x$($t$)$ for the vibrating spring with damping if k$=250$kg$/$s$,$ b$=60$kg$/$s m$=10$kg$,$ x$(0)=0\mathrm{.}3$m$,$ and x$\text{'}(0)=-0\mathrm{.}1$m$/$s