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

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

x(t)=3t^{2}+2t+4\;\text{m}

, where

t

is in seconds. Find its instantaneous velocity at

t=2\,\text{s}

. (a)

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

(b)

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

(c)

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

(d)

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