A particle moves on a straight line for seconds

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

Problem

A particle moves on a straight line for

0\le t\le 7

seconds. Its velocity satisfies

v(t)>0

for

0<t<4

and

v(t)<0

for

4<t<7

. The net displacement over the whole interval is

4

meters. Which statement about the total distance traveled on

0\le t\le 7

is true? (a) It equals

4\text{ m}

. (b) It is greater than

4\text{ m}

. (c) It is less than

4\text{ m}

. (d) It cannot be determined from the information given.