Find the response of a single-degree-of-freedom system under an impulse \(F\) for the following data: \(m=2 \mathrm{~kg}, c=4 \mathrm{~N}-\mathrm{s} / \mathrm{m}, k=32 \mathrm{~N} / \mathrm{m}, F=4 \delta(t), x_{0}=0.01 \mathrm{~m}, \dot{x}_{0}=1 \mathrm{~m} / \mathrm{s}\).