You've just pulled the break-in of the year but unfortunately the paranoid neighbor down the road called in the cops. After disposing of the neighbor you're spotted by a squad car 60m away which quickly begins pursuit.
1) If the squad car accelerates at 5m/s^2 to a top speed of 30m/s and you run at 8m/s, how far can you run until the cop catches up to you?
Assume this is enough to get into an alley and evade the police for now. But upon entering the alley you are surrounded by rival gang members on their motorcycles. They form an equilateral triangle with side length 25m of which you are at the center. Assume the bikes accelerate at 6m/s^2 and are limited by a top speed of 16m/s except one bike whose punctured tire limits it to 10m/s.
2)If they are always riding toward you, at which angle from the punctured bike should you run to make it the farthest before one of them catches up to you?
3)By the time you make it out of there, how many people will you have pop'd?