A critically damped system has a natural frequency of \(10 \mathrm{rad} / \mathrm{s}\). Which of the following sets of initial conditions leads to the system overshooting the equilibrium position?

(a) \(x_{0}=1 \mathrm{~mm}, \dot{x}_{0}=0 \mathrm{~m} / \mathrm{s}\)

(b) \(x_{0}=0 \mathrm{~mm}, \dot{x}_{0}=1 \mathrm{~m} / \mathrm{s}\)

(c) \(x_{0}=1 \mathrm{~mm}, \dot{x}_{0}=1 \mathrm{~m} / \mathrm{s}\)

(d) \(x_{0}=1 \mathrm{~mm}, \dot{x}_{0}=-1 \mathrm{~m} / \mathrm{s}\)

(e) \(x_{0}=\mathrm{mm}, \dot{x}_{0}=-0.2 \mathrm{~m} / \mathrm{s}\)