A particle starts at with velocity

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

Problem

A particle starts at

t=0

with velocity

v(0)=12\,\text{ft/s}

. Its acceleration for

0\le t\le 6

seconds is

a(t)=\begin{cases} -4, & 0\le t\le 2,\\ 2t-8, & 2<t\le 6. \end{cases}

At what time

t>0

does the particle first come to rest? (a)

t=2\,\text{s}

(b)

t=6\,\text{s}

(c)

t=4\,\text{s}

(d)

t=3\,\text{s}