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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Q: (8) IF: A =1+J+ k, B 1+2)- 3k Find A-B, A.B 2Ā.3B , A.B, (Ã+B) • (Ã – B)

A: We solve this question by using vector property. Note: it's Bartleby policy there is only one…

Q: (c) Suppose the position vector of a moving particle at time t is given by 7(t) = (tv2) î + (e*) j+…

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Q: (5) A particle moves in space, its position is specified by the position vector r(1) = (1,r,t sint),…

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