$[10$ pts$]$ We will model the flow of air $(=1\mathrm{.}23\frac{ng}{m^3},=1\mathrm{.}79{10}^{-5}(N)*\frac{s}{m^2})$ around the

Prairie Dog tunnel using a uniform flow with $V_{}=4\frac{m}{s}$ and two doublets. The first doublet

has a strength of ${}_1=5\frac{m^3}{s}$ and is located at the origin. The second doublet has a strength of

${}_2=2\frac{m^3}{s}$ and is located at $(6m,0).($See the picture below$)$

The points A and $B$ are on the same streamline and will represent the openings of our Prairie Dog holes.

Keep at least $5$ significant digits in all calculations.

a$)[4$ pts$]$ If the point $A$ is located at $(0,0\mathrm{.}7m)$ and the point $B$ is located at $x=6m,$ determine the

$y$ coordinate of the point B $,$ in meters.

b$)[4$ pts$]$ Find the velocity vectors at points A and $B,$ in $\frac{m}{s}.$

c$)[2$ pts$]$ Determine $p_B-p_A,$ in Pa$.$