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(12 pts) Assume that the acceleration vector of a particle at time t is a(t) = (sin(2t - 2), e2t, 0), the velocity at t

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(12 pts) Assume that the acceleration vector of a particle at time t is a(t) = (sin(2t - 2), e2t, 0), the velocity at t = 1 is v(1) = (, ,, 4), and the position at t = 1 is r(1) = (2, 0, 6). (a) (7 pts) Find r(t) and v(t) . (b) (5 pts) Can the speed of the particle ever be 0

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