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A particle is moving with acceleration given by a(t) = 6t-12 and an initial velocity...

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A particle is moving with acceleration given by a(t) = 6t-12 and an initial velocity of 9 m/s.(a) Find the velocity of the particle at time t.(b) Find the velocity of the particle after 3 seconds.(c) When is the particle at rest?(d) When is the particle moving in the positive direction?(e) Find the total displacement of the particle during the first 8 seconds.(f) Find the total distance travelled by the particle during the first 8 seconds.

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