The velocity field for a two-dimensional flow is \(\vec{V}=\) \((A x-B y) t \hat{i}-(B x+A y) t \hat{j}\), where \(A=1 \mathrm{~s}^{-2} B=2 \mathrm{~s}^{-2}, t\) is in seconds, and the coordinates are measured in meters. Is this a possible incompressible flow? Is the flow steady or unsteady? Show that the flow is irrotational and derive an expression for the velocity potential.