In a two-dimensional frictionless, incompressible (left(ho=1500 mathrm{~kg} / mathrm{m}^{3} ight)) flow, the velocity field in meters per

In a two-dimensional frictionless, incompressible \(\left(ho=1500 \mathrm{~kg} / \mathrm{m}^{3}\right)\) flow, the velocity field in meters per second is given by \(\vec{V}=(A x+B y) \hat{i}+(B x-A y) \hat{j}\); the coordinates are measured in meters, and \(A=4 \mathrm{~s}^{-1}\) and \(B=2 \mathrm{~s}^{-1}\). The pressure is \(p(0)=\) \(200 \mathrm{kPa}\) at point \((x, y)=(0,0)\). Obtain an expression for the pressure field, \(p(x, y)\) in terms of \(p_{0}, A\), and \(B\), and evaluate at point \((x, y)=(2,2)\).