P$2\mathrm{.}12$ For the open$-$loop control system described by the block diagram shown in Figure P$2\mathrm{.}12,$ determine the value of $K$ such that $y(t)1$ as $t$ when $r(t)$ is a unit step input. Assume zero initial conditions.

FIGURE P$2\mathrm{.}12$ Open$-$loop control system.