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Solve all given parts of following question:
Question: A particle moves along the x-axis according to the equation x(t) = 2.0 + 3.0t2 - 1.0t3, where x is in meters and t is in seconds.
Part A: What is the position of this particle when it achieves its maximum speed in the positive x-direction?
Part B: What is its speed at that time?
Please use great detail in explaining the answer. Thank you.
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