Custom $1$: Consider a $2-$D flow field for a fluid defined by $V=[(4x)hat(i)-(2y+x)hat(j)]\frac{m}{s},$ where

$x$ and $y$ are in meters.

What is the general equation for the acceleration of the fluid, and what is the acceleration of a

fluid particle located at $(1m,2m)?$

What is the general form of the equation for streamlines $($you$\text{'}$ll need to break out Diff$-$Eq$,$ it is

$1$ st order, linear$),$ and what is the equation for the streamline through $(1m,2m)?$

Sketch the streamline through $(1m,2m)$ and a couple of neighboring streamlines.

Using $u=\frac{dx}{dt},$ solve for the position $x$ of a particle as a function of time if the particle is at

$(1m,2m)$ when $t=0$