Chapter 2, Problem 19P

Consider the velocity field V = ax $\hat{i}$ + by(1 + ct) $\hat{j}$, where a = b = 2 s⁻¹ and c = 0:4 s⁻¹. Coordinates are measured in meters. For the particle that passes through the point (x, y) = (1, 1) at the instant t = 0, plot the pathline during the interval from t = 0 to 1.5 s. Compare this pathline with the streamlines plotted through the same point at the instants t = 0, 1, and 1.5 s.