Question: A velocity field is given by the equations u = 4 m / s , v = ( 0 . 5 x 2 + 2

A velocity field is given by the equations u =4 m/s, v =(0.5 x2+2) m/s, where x is in meters.What is the velocity magnitude at the point (x =1 m, y =1 m)?What is the equation of the streamline that goes through the point (x =1 m, y =1 m)?What is the acceleration of a particle at the point (x =1 m, y =1 m)?(Hint: calculate the acceleration in cartesian coordinates.)What is the derivative of the velocity magnitude in the streamline direction (Vs) at the point (x =1 m, y =1 m)?(Hint: Use your previous result for the acceleration, calculate the acceleration in the streamline direction, and relate that acceleration along a streamline.)

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