Given the function f(x,y) = (m^-1 s^-1)(x^3 - A(y^2)x + (4m(s^-1))x)
a. Calculate the constant "A" (with appropriate units) so the function f(x,y) is a velocity potential of an incompressible and irrotational flow field in 2D, Both x and y are given in meters.
b. Find the velocity components in i and in j of the flow field defined by the potential given above.
c. Calculate the magnitude of the velocity of point (1,0).