A thin flat plate, \(L=9 \mathrm{in}\). long and \(b=3 \mathrm{ft}\) wide, is installed in a water tunnel as a splitter. The freestream speed is \(U=5 \mathrm{ft} / \mathrm{s}\), and the velocity profile in the boundary layer is approximated as parabolic. Plot \(\delta, \delta^{*}\), and \(\tau_{w}\) versus \(x / L\) for the plate.