The flow field for a plane source at a distance \(h\) above an infinite wall aligned along the \(x\) axis is given by \[\begin{aligned}\vec{V} & =\frac{q}{2 \pi\left[x^{2}+(y-h)^{2}\right]}[x \hat{i}+(y-h) \hat{j}] \\& +\frac{q}{2 \pi\left[x^{2}+(y+h)^{2}\right]}[x \hat{i}+(y+h) \hat{j}]\end{aligned}\] where \(q\) is the strength of the source. The flow is irrotational and incompressible. Derive the stream function and velocity potential. By choosing suitable values for \(q\) and \(h\), plot the streamlines and lines of constant velocity potential.