The position of a particle moving along a straight line is given by meters for seconds

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

The position of a particle moving along a straight line is given by

s(t)=t^{3}-12t^{2}+36t

meters for

0\le t\le 6

seconds. Determine the time

t

at which the particle is farthest from the origin and state that maximum displacement.