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The velocity field for a fluid, at two different times, is defined by the following equations...

The velocity field for a fluid, at two different times, is defined by the following equations (where u and v are the x- and y-components of the velocity vector): For time 0 s to 5 s; u = 1 m/s and v = 0 m/s For time 5 s to 10 s; u = 0.5 m/s and v = 0.75 m/s Plot the pathline for a particle from the time it is released in the flow (0 seconds) to 10 seconds. Plot the streamlines at times 3 seconds and 7 seconds. Plot the streaklines for a dye that is continuously injected into the flow field (at a given point) for times 3 seconds and 10 seconds.

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