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6. A particle is moving with acceleration given by a(t) = 6t - 12 and an initial velocity of 9 m/s. (a) (2 points) Find the velocity of the particle at time t. (b) (2 points) When is the particle at rest? (c) (2 points) When is the particle moving in the positive direction? (d) (1 point) Find the total displacement of the particle during the first 8 seconds. (e) (3 points) Find the total distance travelled by the particle during the first 8 seconds