Using MATLAB, Water flowing from an oscillating sprinkler head produces a velocity field given by ~v = u0 sin[(t y/v0)]i + v0j. where u0, v0 and are constants (which you are free to assign and experi- ment with). Thus, the y component of velocity remains constant (vy = v0) and the x component of velocity at y = 0 coincides with the velocity of the oscillating sprinkler head [vx = u0 sin(t) at y = 0]. (a) Write a program to plot the velocity field and a few streamlines for a fixed value of t. Include the capability of varying t in the streamlines and velocity field plot. (b) On a separate figure plot a few pathlines of particles which emerge from the point (0, 0) at some time prior to time t and the corresponding streakline at time t. (c) Describe the pathlines and streakline for this flow.

use matlab to solve the question and upload m. file