Question

A particle moves along a straight line so that its distance to the right of the origin at time t is given by:

s(t) = 2t^3 - 6t^2 + 8

a) At what time(s) is the particle at the origin?
b) At what time(s) is the particle not moving?
c) At what time(s) is the velocity of the particle neither increasing nor decreasing; that is, at what time(s) is the particle neither accelerating nor decelerating.