A velocity field is given by \(u=5 y^{2}, v=3 x, w=0\). (Do not concern yourself with units in this problem.)

(a) Is this flow steady or unsteady? Is it two- or threedimensional?

(b) At \((x, y, z)=(3,2,-3)\), compute the velocity vector.

(c) At \((x, y, z)=(3,2,-3)\), compute the local (i.e., unsteady part) of the acceleration vector.

(d) At \((x, y, z)=(3,2,-3)\), compute the convective (or advective) part of the acceleration vector.

(e) At \((x, y, z)=(3,2,-3)\), compute the (total) acceleration vector.