consider a free$-$stream flow with u$\_$infinity$=1$m$/$s over a flat plate. a velocity measuring probe $($also known as velocimeter$)$ placed at a distance of $10$cm above the plate, records the horizontal velocity as $0\mathrm{.}73$m$/$s$.$ the kinematic viscocity of the fluid is given to be $1$m$/$s$^2.$ How far from the leading edge of the plate is the probe placed? What is the vertical component of the velocity recorded by the instrument?