A two$-$dimensional compressible flow field has components $(u,v).$ If

$u=\frac{U_{o}x}{H-U_{o}t},v=0$

where $U_0=1\frac{m}{s}$ and $H=1m.$ Estimate the density $(t)$ at $t=0\mathrm{.}12s$ if the initial density $(0)=1k\frac{g}{m^3}.$