The velocity of a fluid particle moving along a horizontal streamline that coincides with the x axis in a plane, two-dimensional, in-compressible flow field was experimentally found to be described by the equation u = 3x^3.
Along this streamline determine an expression for
(a) the rate of change of the v component of velocity with respect to y
(b) the acceleration of the particle
(c) the pressure gradient in the x direction.
The fluid is Newtonian.