$0\mathrm{.}25/1$

A car moves with velocity, $v,$ at time $t$ in hours given by

$v(t)=\frac{80}{{70}^t}$ mile$\frac{s}{h}$our.

$($a$)$ Does the car ever stop? $$

$($b$)$ Write an integral representing the total distance traveled for $t0.$

Distance traveled $={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}},dt$ miles.

$($c$)$ Do you think the car goes a finite distance for $t0?$ If so$,$ estimate the distance.

NOTE: If the car goes a finite distance, round your estimate to one decimal place.

Does the car go a finite distance?