A linear second-order system with transfer function: [ G(s)=frac{49}{s^{2}+16 s+49} ] is initially at rest and is

Question:

A linear second-order system with transfer function:
\[
G(s)=\frac{49}{s^{2}+16 s+49}
\]
is initially at rest and is subjected to a step input signal. The response of the system will exhibit a peak overshoot of:
(a) $16 \%$
(b) $9 \%$
(c) $2 \%$
(d) zero

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