A flow velocity field is given as vec$(V)=\frac{v_0}{l}(-$xhat$()+$yhat$(j)).$

a$.$ Determine the streamline for this flow. $[5$ Points$]$

b$.$ What is the pathline and streakline for this

flow? Explain. $[5$ Points$]$

c$.$ This velocity field can describe $2$D flow close

to a stagnation point on a surface. Using

Bernoulli's equation for incompressible flow

and neglecting altitude, find pressure as a

function of stagnation point pressure $P_0,$ the

fluid density $,V_0,l,x,$ and $y.$ Do you think

this equation is valid far from the stagnation

point? Explain. $[5$ Points$]$