Given the following Eulerian velocity vector field v=(u,v,w)=3tzi^+xzj^+ty2k^ a) Find the local, the convective, and the total acceleration of a fluid particle. [12 Points] b) Is this flow field steady or unsteady? Why? [4 Points] c) Is it two-dimensional or three-dimensional? Why? [4 Points] d) Does the given velocity field satisfy the continuity equation for an incompressible flow? [5 Points]