Side note: This blog reminded me of Jimi Hendrix's crosstown traffic! I figured out how to insert a music player so that song should be playing now. Sorry the player is so big/distracting but it's the only one that works... sorry!
Well, aren't I lucky to live right next to a freeway? I mean, besides the noise (I sleep through my alarm clock on a regular basis anyway) and the car crashes (front row seats!) it's pretty ok. Plus, I can get plenty of great pictures for physics.
Anyway.
Let's say when you're going towards the right, you're going in the positive direction and vice versa. The motorcycle and the blue car (bottom) need to get onto the freeway. To do that, they need to use the on ramp (the bottommost lane) which is about 500ft or 152.400m (according to google earth). To get on the on ramp, you need to turn, so their initial velocity would be maybe 5mph (2.235m/s) and, assuming they want to reach the speed limit, their final velocity would be 55mph (22.352m/s). This means that the motorcycle and blue car took 12.395s and an acceleration of 1.623m/s^2 to get onto the freeway!
