**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:**