A sink with strength $Q=60\frac{m^2}{s}$ is located at the origin. A uniform flow with $U=40\frac{m}{s}$ is pointed in the

positive $x$ direction. The pressure in the flow remote from the sink is atmospheric and the fluid is air.

$($a$)$ Find the stream function for the flow.

$($b$)$ Determine the velocity components.

$($c$)$ Determine the location of every stagnation point.