Question the position of a particle moving along the x-axis, Ask an Expert

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Question: The position of a particle moving along the x-axis depends on time as x(t) = 30 t² - 4 t³ where x is in m and t in s.

Part A: At what time does the particle reach its maximum positive x position?

Please show all work and steps I am really trying to learn this for my exam.

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