Mathematics

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}

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

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

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