A reasonable approximation for the two$-$dimensional incompressible boundary layer on the flat surface is given by

$u=U(\frac{y}{}-(\frac{y}{}{)}^2),=C\sqrt[\phantom{2}]{x}$

where $C=1\mathrm{.}00\sqrt[\phantom{2}]{m}$ and $U=8\frac{m}{s}.$ Determine the magnitude of the $v$ in $\frac{m}{s}$ at $(x,y)=(1,\frac{C}{2}).$