The velocity of a particle moving in a fluid is described by means of a velocity field v

Chapter 9, Problem 27

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The velocity of a particle moving in a fluid is described by means of a velocity field v = v1 i+ v2j + v3k, where the components v1, v 2 , and v3 are functions of x, y, z, and time t. If the velocityof theparticle isv(t) = 6t2xi - 4ty2j + 2t(z + l)k, find r(t). [Hint: Use separation of variables.]

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