Air at \(300 \mathrm{~K}\) and \(1 \mathrm{~atm}\) flows along a flat plate at \(3 \mathrm{~m} / \mathrm{s}\). At a location of \(0.3 \mathrm{~m}\) from the leading edge, find the thickness of the boundary layer \((\delta)\). Calculate the velocity profile at the point at distances of \(\delta / 2\) and \(\delta / 5\). Assume a laminar boundary layer. A heat flux of \(1 \mathrm{~W} / \mathrm{m}^{2}\) is applied to a wall with air flowing past it. The friction factor is 0.002 and the Prandtl number is 2 . Find the temperature at a location \(5 \mathrm{~mm}\) from the wall if the wall temperature is \(300 \mathrm{~K}\).