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Got it! If you'd like me to solve or explain any of the questions in the image, let me know which one you'd like to start with. 

For instance, I can clarify concepts, solve velocity or acceleration-related problems, or break the process down step by step. 

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Here are 5 relative follow-up questions:
1. What is the general formula for instantaneous velocity and acceleration from position \( x(t) \)?
2. How do you determine when a particle momentarily stops moving?
3. What steps are involved in graphing position, velocity, and acceleration versus time?
4. How do you calculate average velocity between two time intervals?
5. How do you analyze the motion of a particle given a position function \( x(t) \)?

**Tip:** When solving motion problems, always differentiate \( x(t) \) for velocity and differentiate again for acceleration.

Given the position function x(t) = 12t^2 - 2t^3, determine the position, velocity, and acceleration of the particle at t = 3.0 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity and when does the particle stop moving?

Learn how to analyze the position, velocity, and acceleration of a particle given x(t) = 12t^2 - 2t^3. This solution involves finding maximum position, velocity, and when the particle stops moving using calculus concepts like derivatives.

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