3. Suppose a particle is being accelerated in three-dimensional space with the acceleration at time t given by the vector function a(t) = (t2-1, 2t, t3+32) (in meters per second per second). (a) (10 points) Give a formula for the velocity of the particle at time t as a vector function v(t), assuming that the initial velocity is vo= (0,0,0). (b) (15 points) What is the total distance the particle travelled from t = 0 to t = 1?

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