GATE EC 2019 Set 1 Q31 — LTI Systems

Consider a causal second-order system with the transfer function

$$G(s)=\dfrac{1}{1+2s+s^{2}}$$

with a unit-step $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its steady-state value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is