For a mass$-$spring$-$damper system the governing equation is:

$m{x}^{}+c{x}^{}+kx=0$

$m=3kg$

$c=4N^{**}\frac{s}{m}$

$k=73\frac{N}{m}$

Determine the position, using $x.xx$ format, at $t=8$ sec if the system starts from $x(0)=x_o$

$=0\mathrm{.}2m$ with an initial velocity of $-0\mathrm{.}1\frac{m}{s}$