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A particle moves along the x axis in such a way that its position at time t is given x 3t4 16t 24t2 for 5

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A particle moves along the x axis in such a way that its position at time t is given x 3t4 16t 24t2 for 5 t 5 a Determine the velocity and acceleration of the particle at time t b At what values of t is the particle at rest c At what values of t does the particle change direction d What is the velocity when the acceleration is first zero

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