2. Consider the planar flow of an incompressible fluid given by: v = Axyt where the coordinate y is vertically upward and A is constant in time and space. The flow is inviscid and the only body force is that due to gravity, g. (a) Determine whether or not this flow is irrotational. (b) Find the pressure, p, within the flow as a function of A, p (the fluid density), g, x, y and t. (The result contains an arbitrary constant which could be evaluated by assuming that the pressure is known at any one point in the flow, for example at the origin.)