$($from Minnesota Cooperative Group Problems #$12)$

In your new job, you are the technical advisor for the writers of a gangster movie about Bonnie and Clyde. In one scene Bonnie and Clyde try to flee from one state to another. If they get across the state line, they could evade capture, at least for a while until they become Federal fugitives. In the script, Bonnic is driving down the highway at $108k\frac{m}{h}r$ and passes a concealed police car that is $1km$ from the state line. The instant Bonnie and Clyde pass the patrol car, the eep pulls onte the highway and accelerates ar a constant rate of $2\frac{m}{s^2}.$ The writers want to know if they make it across the state line before the pursuing cop catches up with them.