A particle in rectilinear motion follows the path s(t) = t^3 − 6t^2 + 9t, where s is in meters, and t is in seconds.

Question

A particle in rectilinear motion follows the path s(t) = t³ − 6t² + 9t, where s is in meters, and t is in seconds.

Answer 1

t^3 -6t^2 + 9t = t(t^2 -6x + 9) = t(t-3)^2 with zeros = 0, 3, and 3