Uniform flow at $100$ fps is approaching a single vortex $($no cylinder$)$ rotating CW at $1000f\frac{t^2}{s}.$

a$)$ Draw a sketch of the problem and define the Stream Function

b$)$ Determine the velocity components.

c$)$ Determine the stagnation point.

d$)$ Define the body stream function value.

e$)$ Determine the maximum velocity.