The velocity of a particle moving on a line is (in meters per second)

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

Problem

The velocity of a particle moving on a line is

v(t)=t^{2}-5t+4

(in meters per second), where

t

is measured in seconds. For

0\le t\le5

, at which of the following times is the particle at rest? (a)

t=2.5\text{ s}

(b)

t=1\text{ s}

and

t=4\text{ s}

(c)

t=2\text{ s}

and

t=3\text{ s}

(d) The particle is never at rest on this interval.