A velocity field is given by the equations $u=4\frac{m}{s},v=(0\mathrm{.}5x^2+2)\frac{m}{s},$ where $x$ is in

meters.

$-$What is the velocity magnitude at the point $)=1m,y=(1m?$

What is the equation of the streamline that goes through the point $(x=1m,y=1$

$m?$

What is the acceleration of a particle at the point $)=1m,y=(1m?($Hint:

calculate the acceleration in cartesian coordinates.$)$

What is the derivative of the velocity magnitude in the streamline direction $(\frac{\text{d}\text{e}\text{l}\text{V}}{\text{d}\text{e}\text{l}\text{s}})$

at the point $)=1m,y=(1m?($Hint: Use your previous result for the acceleration,

calculate the acceleration in the streamline direction, and relate that acceleration

along a streamline.$)$