Determine the displacement \((x)\), velocity \((\dot{x})\), and acceleration \((\ddot{x})\) of a spring-mass system with \(\omega_{n}=10 \mathrm{rad} / \mathrm{s}\) for the initial conditions \(x_{0}=0.05 \mathrm{~m}\) and \(\dot{x}_{0}=1 \mathrm{~m} / \mathrm{s}\). Plot \(x(t), \dot{x}(t)\), and \(\ddot{x}(t)\) from \(t=0\) to \(5 \mathrm{~s}\).