Position when particle achieves maximum speed on x-axis

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J.live
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Homework Statement



The position of a particle moving along the x-axis is given by x = 4.7t2 − 3.2t3,where x is in meters and t is in seconds. What is the position of the particle when it achieves its maximum speed in the positive x-direction?
 

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You should try to attempt the problem along with the question!
I cannot help you unless you try to do it.