The position of a particle after t seconds is given by r(t) = (t2²,4t, 4 lnt) for t≥ 1. (a) Calculate the position, velocity, and acceleration of the particle when t = 2. (b) Calculate the total distance traveled by the particle from t = 1 to t-e². (c) Is the object speeding up or slowing down at t-e² seconds?

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