A SDOF system with \(m=10 \mathrm{~kg}, k=40,000 \mathrm{~N} / \mathrm{m}\), and \(c=300 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\) is at rest in equilibrium when a \(80 \mathrm{~N} \cdot \mathrm{s}\) impulse is applied. This is followed by a \(40 \mathrm{~N} \cdot \mathrm{s}\) impulse \(0.02 \mathrm{~s}\) later. Determine the response of the system.