A flow is described by velocity field V=ai+bxj where a = 2 (m/s) and b = 1 (1/s) , coordinates are measured in meters. a) Obtain the equation for the streamline passing through the point (2,5). b) At t=2s , what are the coordinates of the particle that passed through point (0,4) at t=0. c) At t=3s , what are the coordinates of the particle that passed through point (1,4.25) 2 seconds earlier.

Explanation:

The concept of differential in rate of change is applied to solve the problem.

First is to compare the equation given V=ai+bxj  , where u = a and v = bx.

the detailed steps and appropriate integration and substitution is as shown in the attached file.

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