In Exercises 8992, the function describes the motion of a particle along a line. For

Chapter 3, Problem 89

(choose chapter or problem)

Motion Along a Line   In Exercises 89-92, the function s(t) describes the motion of a particle along a line. For each function, (a) find the velocity function of the particle at any time \(t \geq 0\), (b) identify the time interval(s) in which the particle is moving in a positive direction, (c) identify the time interval(s) in which the particle is moving in a negative direction, and (d) identify the time(s) at which the particle changes direction.

\(s(t)=6 t-t^{2}\)

Text Transcription:

t>=0

s(t)=6 t-t^2

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