In a two-dimensional vortex flow, the fluid flows in circularpaths around the center of the vortex. The magnitude of thevelocity decreases with distance from the center. The streamfunction for a two-dimensional vortex centered at the origin isψ=ln sqrt(x^2+y^2) where the x--y plane is horizontal and x and yare in meters. Show that continuity of the flow is satisfied anddetermine the magnitude of the horizontal velocity at A, wherex=−0.2m, y=0.4m. Express your answer in m/s to three significantfigures
