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A small metal particle passes downward through a fluid medium while being subjected to the attraction of a magnetic field such that its position is observed to be s = (15t3 - 3t) mm, where t is measured in seconds. Determine (a) the particle's displacemen

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A small metal particle passes downward through a fluid medium while being subjected to the attraction of a magnetic field such that its position is observed to be s = (15t3 - 3t) mm, where t is measured in seconds. Determine (a) the particle's displacement from t = 2 s to t = 4 s, and (b) the velocity and acceleration of the particle when t = 5 s.

[A]. deltas = 834 mm, v = 1122 mm/s, a = 450 mm/s2
[B]. delta s = 114 mm, v = 1122 mm/s, a = 450 mm/s2
[C]. delta s = 114 mm, v = 450 mm/s, a = 1122 mm/s2
[D]. delta s = 834 mm, v = 450 mm/s, a = 1122 mm/s2

Answer: Option A

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