A particle moves so that its velocity at time seconds is meters per second

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

Problem

A particle moves so that its velocity at time

t

seconds is

v(t)=\sin t

meters per second. If its position at

t=1

3

meters, what is its position at

t=\pi

? (a)

3+1\text{ m}

(b)

3+(1-\cos 1)\text{ m}

(c)

3+(\cos 1-\cos \pi)\text{ m}

(d)

3+(1-\cos \pi)\text{ m}