Kinematics position function question

AI Thread Summary
The discussion focuses on a kinematics problem involving the position function X = (t^3 - 3t^2 + 6t)m, where m represents meters and t represents seconds. The user is preparing for the AP test and seeks help in determining the position of a particle at its minimum speed after t = 0. They attempted to use factoring and the quadratic formula but encountered imaginary roots, indicating a misunderstanding of the problem. Clarification on how to find the minimum speed and the corresponding position is requested. The thread emphasizes the importance of correctly analyzing the function to solve the kinematics question effectively.
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< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >[/color]

I'm studying for AP test. This is not a homework question. Does anyone know how to do number 2? I don't even know where to start. I tried factoring out t and using quadratic formula, but I kept getting imaginary roots and t can't equal zero.

X = (t^3 - 3t^2 + 6t)m

where m is meters and t is seconds.
What is the position of the particle when it is at its minimum speed (after t = 0)

thanks in advance for anyone that answers.
 

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