In the control system, shown in Fig. 5.3 , the value of \(k\) has been designed to have the fastest response but without any overshooting. In this condition, determine the settling time of the system response.

1) \(4 \mathrm{sec}\)
2) \(2 \mathrm{sec}\)
3) \(3 \mathrm{sec}\)
4) \(0.5 \mathrm{sec}\)

Figure 5.3

X(s) 2 k Y(s) s(s+4)