Bill and George

[Acedeal]

George is driving 100 ft/sec toward an intersection.
He looks to his right, and sees Bill, driving 30 ft/sec toward the same intersection. George foolishly slams on his brakes.

If he had kept going 100 ft/sec, he would have been through the intersection long before Bill got there.

At the instant that he slams on his brakes, the center of George's car is 125 ft from the intersection, and the center of Bill's car is 150 ft from the intersection. George's brakes give his car an acceleration of -30 ft/sec².
Bill never changes his speed.
Each car is 13 ft long and 7 ft wide.

Will there be a collision?

[Panda]

Ok, I actually know how to do this one. It's basic kinematics, but with a twist. Which I did noticed Ace. Hehe, I love these problems.

Anyways, I'll let some others crack at it before I give my answer.

[IsZi]

I used to know how to do this one, but I've been out of school for a few years, so my brain is a bit rusted in this department.

[Panda]

The cars never collide. When doing your calculations keep in mind that George's car does provide negative acceleration but ceases to do so when he stops.

[Acedeal]

Yes,
but
if the car continues to decelerate the speed will eventually become negative & the car will reverse. That happens after 5 seconds.