A particle moves along a straight line with velocity given by

MATHEMATICS · Multi-part · A Level · Mathematics · Kinematics · Kinematics

Problem

v(t)=3t^{2}-12t+9

, where

v

is in

\text{m\,s}^{-1}

and

t

in seconds. (a) Determine the instant(s) when the particle is momentarily at rest. (b) Calculate the instantaneous speed of the particle at

t=1\,\text{s}

t=2\,\text{s}

and

t=3\,\text{s}

. (c) Comment briefly on the relation between the signs of

v(t)

and the values of speed obtained in part (b).