The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t – 10t? + 25t + 6, t 2 0 (a) Find the velocity and acceleration functions. v(t): a(t): (b) Over what interval(s) is the particle moving in the positive direction? Use inf to represent o, and U for the union of sets. Interval: (c) Over what interval(s) is the particle moving in the negative direction? Use inf to represent co, and U for the union of sets. Interval:

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