The velocity field within a laminar boundary layer is approximated by the expression

\[\vec{V}=\frac{A U y}{x^{1 / 2}} \hat{i}+\frac{A U y^{2}}{4 x^{3 / 2}} \hat{j}\]

In this expression, \(A=141 \mathrm{~m}^{-1 / 2}\), and \(U=0.240 \mathrm{~m} / \mathrm{s}\) is the freestream velocity. Show that this velocity field represents a possible incompressible flow. Calculate the acceleration of a fluid particle at point \((x, y)=(0.5 \mathrm{~m}, 5 \mathrm{~mm})\). Determine the slope of the streamline through the point.