Particles travel wthin a flow feld defined by

$V=\{2y^{2}i+4j\}\frac{m}{s},$ where $x$ and $y$ are in

meters.

Part A

Desermine the equation of the streamline passing through point

$(1m,2m).$ Wite the equation in the form $y=\{y(x)\}m,$ where $x$ is in

meters

Express your answer in terms of $x.$

$y$

III

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Part B

Find the magnitude of the velocity of a particle located at the point $(4m,0$

in$)$

Express your answer to three significant figures and include the

appropriate units.