Question: The function s(t) describes the motion of a particle along a line. (a) Find the velocity function of the particle at any time t

The function s(t) describes the motion of a particle along a line.

(a) Find the velocity function of the particle at any time t ≥ 0.

(b) Identify the time interval(s) on which the particle is moving in a positive direction.

(c) Identify the time interval(s) on which the particle is moving in a negative direction.

(d) Identify the time(s) at which the particle changes direction.

s(t) = 6t3 − 8t + 3

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