2. (Motion Along a Straight Line) The position of a particle moving along an x-axis is...

 

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2. (Motion Along a Straight Line) The position of a particle moving along an x-axis is given by x = 12t? – 2t3, where x is in meters and t is in seconds. i Determine the acceleration of the particle at t = 3.0 s. ii What are the maximum positive coordinate reached by the parti- cle and the acceleration of the particle at that instant? Answer: i) a(t = 3 s) = -12 m/s? ii) x(t = 4 s) = 64 m, a(t = 4 s) = -24 m/s² 2. (Motion Along a Straight Line) The position of a particle moving along an x-axis is given by x = 12t? – 2t3, where x is in meters and t is in seconds. i Determine the acceleration of the particle at t = 3.0 s. ii What are the maximum positive coordinate reached by the parti- cle and the acceleration of the particle at that instant? Answer: i) a(t = 3 s) = -12 m/s? ii) x(t = 4 s) = 64 m, a(t = 4 s) = -24 m/s²

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xt12t 2 2t 3 is the position function of the particle iAccel... View the full answer