(Solved): Answer a,b,c,d completely and show work please. The velocity field near a stagnation point may be wr ...

The velocity field near a stagnation point may be written in the form: $u=\frac{U_{0}x}{L}v=-\frac{U_{0}y}{L}$ a) (6 pts) Using MATLAB or another graphing program of your choice, visualize the flow velocity field over the range $-5\mathrm{m}<x<5\mathrm{m}$ and $-5\mathrm{m}<\mathrm{y}<5\mathrm{m}$ if ${\mathrm{U}}_0=1\mathrm{m}/\mathrm{s}$ and $\mathrm{L}=1.5\mathrm{m}$ b) ( 3 pts) Draw at least 3 streamlines for the velocity field. Your streamlines can originate at any point you choose, but make sure there's sufficient distance for the streamline to travel within the plotted range of coordinates (i.e. don't choose a point that immediately leaves the field of view to start) c) (3 pts) Determine the acceleration vector for the flow field in terms of $x,y,U_0$, and $L$ d) ( 3 pts) Explain the extremum of the acceleration vector (where would we see a minimum or maximum acceleration magnitude? What is true about the velocity field at that location?)