A velocity field is given by V =Axi−Ayj; the units of velocity are m/s; x and y are given in meters; A=0 3 s−1.

(a) Obtain an equation for the streamlines in the xy plane.

(b) Plot the streamline passing through the point x0,y0 =(2, 8).

(c) Determine the velocity of a particle at the point (2, 8).

(d) If the particle passing through the point x0,y0 is marked at time t =0, determine the location of the particle at time t =6 s.

(e) What is the velocity of this particle at time t =6 s?

(f) Show that the equation of the particle path (the pathline) is the same as the equation of the streamline.