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Particle motion and derivatives in context Please need a easy follow up and explanation to understand better. Thank you so much For 0 $ 1

Particle motion and derivatives in context Please need a easy follow up and explanation to understand better. Thank you so much

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For 0 $ 1 5 12, a particle moves along the x-axis. The velocity of the particle at time t is given by v(t) = cos . The particle is at position x = -2 at time t = 0. 4. For the given time interval, when is the particle moving to the left? Explain how you know. 5. Determine a function for the acceleration of the particle at time t. 6. Is the speed of the particle increasing, decreasing, or neither at time t = 4? Explain your reasoning. 7. Identify all of the times in the given interval when the particle changes directions. Explain how you know

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