A velocity field is given by (mathbf{V}=x hat{mathbf{i}}+x(x-1)(y+1) hat{mathbf{j}}), where (u) and (v) are in (mathrm{ft} /

Question:

A velocity field is given by \(\mathbf{V}=x \hat{\mathbf{i}}+x(x-1)(y+1) \hat{\mathbf{j}}\), where \(u\) and \(v\) are in \(\mathrm{ft} / \mathrm{s}\) and \(x\) and \(y\) are in feet. Plot the streamline that passes through \(x=0\) and \(y=0\). Compare this streamline with the streakline through the origin.