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

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

$m=6kg$

$c=69N^{*}\frac{s}{m}$

$k=100\frac{N}{m}$

Determine the position, using $x.x$ format, at $t=2sec$ if the system starts from $x(0)=x_o$

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