A particle moves along a line so that itsposition at any time t ≥ 0 is given by the functions 5(t) = t/3 - 6t/2 + 8t + 2

instantaneous

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A particle moves along a line so that itsposition at any time t ≥ 0 is given by the functions 5(t) = t/3 - 6t/2 + 8t + 2 where s is measured in meters and t is measured in seconds.
(a) Find the instantaneous velocity at any time t.
(b) Find the acceleration of the particle at any time t.
© When is the particle at rest?
(d) Describe the motion of the particle. At what values oft does
the particle change directions?

Answer:

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