Chapter 2, Problem 30P

A flow is described by velocity field $\stackrel{\to }{V}=at\hat{i}+b\hat{j}$, where a = 0:4 m/s² and b = 2 m/s. At t = 2 s, what are the coordinates of the particle that passed through point (2, 1) at t = 0? At t = 3 s, what are the coordinates of the particle that passed through point (2, 1) at t = 2 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 s.