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1. For t 2 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v(t) = 1

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1. For t 2 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v(t) = 1 + 2 sin The particle is at position x = 2 at time t = 4. a. At time t = 4, is the particle speeding up or slowing down? Justify your answer. b. Find all times t in the interval 0

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