The velocity field is defined by u $=0\mathrm{.}8$t in m$/$s

and v $=0\mathrm{.}2$ in m$/$s$.$ x and y are in meters. For a particle released at

point $(0$ m$,0$ m$)$ at t $=0$:

$($a$)$ Define the position of the particle as a function of time $($pathline$).$

$($b$)$ Define the equations of the streamline at t $=2$ s$.$

$($c$)$ Define the equations of the streamline at t $=4$ s$.$

$($d$)$ Plot the pathline and two streamlines. Comment