Traveling from city A to city B$,$ a train accelerates from rest at $0\mathrm{.}020\frac{m}{s^2}$ for $10\mathrm{.}0$min, then maintains its speed for the next $30\mathrm{.}0$min. It then begins decelerating at $0\mathrm{.}075\frac{m}{s^2},$ until stopping in city B$.-$ How far is city A from city B$?$

$7\mathrm{.}3km$

$114km$

$26km$

$24km$