Problem $19.$ Determination of Peak Response Time

A control system for a chemical reactor has elements that are defined by the

following second$-$order transfer function.

$\frac{Y(s)}{R(s)}=\frac{26\mathrm{.}2}{s^2+5\mathrm{.}68s+12\mathrm{.}96}$

How much time is required for the system response to reach the maximum value?

$($A$)0\mathrm{.}83s$

$($B$)1\mathrm{.}4s$

$($C$)3\mathrm{.}1s$

$($D$)3\mathrm{.}5s$