1.) the velocity vector [v-v(x, y, z, t)] for a fluid flow system has been determined from production site measurements to be: v-11 1 where x,'y' and ‘z' are characteristic lengths and 'u,'v' and 'w are velocity vector components for the x, y, and z directions respectively. if the total derivative of the previously mentioned velocity vector as a function of time '' can be expressed as: determine the total derivative for this flow system and explain what this represents. simplify your final expression as