The open loop transfer function of a unity feedback system is
\[
\mathrm{G}(s)=\frac{k}{s(s+2)}
\]
It is specified that the response of the system to a unit step input should have maximum overshoot of \(10 \%\) and the settling time should be less than one second.
(a) Is it possible to satisfy both the specification simultaneously by adjusting \(k\) ?
(b) If not, determine values of \(k\) that will satisfy the first specification. What will be the settling time and the time to reach the first peak for this case?