A particle moves along the x-axis according to the equation, Physics

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A particle moves along the x-axis according to the equation

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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Physics: A particle moves along the x-axis according to the equation

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Physics: A particle moves along the x-axis according to the equation

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