If the position of a particle is given by x=20t-5t^3

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(a) If the position of a particle is given by x = 20t - 5t^3, where x is in meters and t is in seconds, when, if ever, is the particle’s velocity zero? (b) When is its acceleration a zero? (c) For what time range (positive or negative) is a negative? (d) Positive?
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