A plane begins its takeoff $at2$:$00p.m.ona2220-$mile flight.

$100$ miles per hour.

STEP $1$: Let $S(t)be$ the position $of$ the plane. Let $t=0$ correspond $to2p.m.,$ and fill $in$ the following values.

$S(0)=$

$S()=2220$

STEP $2$: The mean value theorem says that there exists a time $t_0,$

$s^{\text{'}}(t_0)=v(t_0)=\frac{2220-}{-0}=Nowv(0)=v(t_0^{\text{'}})=0,t_{0}t$