A particle moves along a straight line so that its position is (in metres) at time seconds

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

Problem

A particle moves along a straight line so that its position is

x(t)=3t^{2}-2t+1

(in metres) at time

t

seconds. Find its velocity at

t=4\,\text{s}

. (a)

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

(b)

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

(c)

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

(d)

-22\,\text{m\,s}^{-1}