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## Homework Statement

Determine the speed of a fluid particle at the origin and at a point (1,-2,0) for each of the following velocity fields when t = 2s. All distances are in meters and t is in seconds.

V = (x+2)i + xtj - zk m/s

## Homework Equations

V x dr = 0

dV/dt = u(dV/dx) + v(dV/dy) + w(dV/dz) + dV/dt

## The Attempt at a Solution

Started with trying to:

dx/dt = x+2 ==> dx/(x+2) = dt

dy/dt = xt ==> dy/x = tdt

This is as far as I have gotten, my textbook doesn't give a single example when dealing with 3-dimensional vector fields and my professor doesn't give any clarification on this program in his notes nor has he given any examples based on 3-dimensional problems or a vector field problem in general.