A flow is described by velocity field \(\vec{V}=a t \hat{i}+b \hat{j}\), where \(a=0.4 \mathrm{~m} / \mathrm{s}^{2}\) and \(b=2 \mathrm{~m} / \mathrm{s}\). At \(t=2 \mathrm{~s}\), what are the coordinates of the particle that passed through point \((2,1)\) at \(t=0\) ? At \(t=3 \mathrm{~s}\), what are the coordinates of the particle that passed through point \((2,1)\) at \(t=2 \mathrm{~s}\) ? Plot the pathline and streakline through point \((2,1)\) and compare with the streamlines through the same point at the instants \(t=0\), 1 , and \(2 \mathrm{~s}\).

Viscosity