The velocity (in feet per second) of a particle moving along a line is               v(t) = t3 − 10t2 + 29t − 20 where t is the time in seconds.                               a. What is the displacement of the particle on the time interval 1 ≤ t ≤ 5?      b. What is the total distance traveled by the particle on the time interval 1 ≤ t ≤ 5?

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