$[10$ marks$]$ Dr$.$ Teismamn is traveling to Halifax at $110k\frac{m}{h}r$ when he sees a deer croesing the road $50$ metres alread. After slamming on the brakes, what is the minimum constant deceleration Dr$.$ Teismann must achieve to$-$avoid hitting the deer? Use the fact that

$v(t)={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}a(t)dt,s(t)={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}v(t)dt$

where $a(t)$ is acceleration, $v(t)$ is velocity, and $s(t)$ is position over time Using the fundamental theorem of calculaz