It is known that from t = 2 s to t = 10 s the acceleration of a particle is inversely…

It is known that from t = 2 s to t = 10 s the acceleration of a particle is inversely proportional to the cube of the time t. When t = 2 s,  = 215 m/s, and when t = 10 s, ω= 0.36 m/s. Knowing that the particle is twice as far from the origin when t = 2 s as it is when t = 10 s, determine (a) the position of the particle when t = 2 s and when t = 10 s, (b) the total distance traveled by the particle from t = 2 s to t = 10 s.

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