Incompressible steady flow in the inlet between parallel plates is uniform, $=0=5$

$,$

while downstream the flow develops into the parabolic laminar profile $=4$

$0$

$2(0).$

$1)$ What is the volumetric rate $($flux$)$ of the upstream flow?

$2)$ If the flux is conserved from upstream to downstream and given $0$ is $2$ m$,$ what is the value of

$$ in m$/$s