Flow problem

banerjeerupak

1. The problem statement, all variables and given/known data

A flow is described by velocity field V=(ay)i + bj, where a = 1, and b = 2. Co-ordinates are measured in meters. Obtain the equaion for the streamline passing through point (6,6). At t = 1 seconds, what are the co-ordinates of the particle that passed through the point (-3,0) 2 seconds earlier.

2. Relevant equations

V = (ay) i + bj

3. The attempt at a solution

From the values of a and b, we have V = yi + 2j.
dy/dx = v/u = 2/y.

Integrating throughout,
(y^2)/2 = 2x + c.

@(6,6) -> 18 = 12 + C

C = 6

therefore, (y^2)/2 = 2x+6

I can't figure out how to fine the other part of the problem. i.e. "At t = 1 seconds, what are the co-ordinates of the particle that passed through the point (-3,0) 2 seconds earlier. ".

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