Analysis of a Moving Particle The position of a particle moving on a line is given by s(t) = 2t3 −21t2 +60t, t ≥ 0, where t is measured in seconds and s in feet.
(a) What is the velocity after 3 seconds and after 6 seconds?
(b) When is the particle moving in the positive direction?
(c) Find the total distance traveled by the particle during the first 7 seconds.
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