The velocity potential for a certain inviscid, incompressible flow field is given by the equation

\[ \phi=2 x^{2} y-\left(\frac{2}{3}\right) y^{3} \]

where \(\phi\) has the units of \(\mathrm{m}^{2} / \mathrm{s}\) when \(x\) and \(y\) are in meters. Determine the pressure at the point \(x=2 \mathrm{~m}, y=2 \mathrm{~m}\) if the pressure at \(x=1 \mathrm{~m}, y=1 \mathrm{~m}\) is \(200 \mathrm{kPa}\). Elevation changes can be neglected, and the fluid is water.