Additional Problem $2.$ Consider the $2$D flow field given by $\backslash ($ u$=$U$\_\{0\}+2$ y$,$ v$=0\backslash ),$ with reference pressure $\backslash ($ p$\_\{0\}\backslash )$ at the origin. Assume inviscid, incompressible flow. Neglect body forces.

a$)$ Sketch the velocity field and describe in words what is happening in the flow.

b$)$ Find the pressure at location A located on the x $-$axis at location $(\backslash ($ x$,0\backslash )).$ Describe how the Big Idea applies and rationalizes your answer.

c$)$ Find the pressure at a location B located on the y$-$axis at location $(\backslash (0,$ y $\backslash )).$ Describe how the Big Idea applies and rationalizes your answer.