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Deceleration (Posted on 2003-10-02) Difficulty: 3 of 5
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?

See The Solution Submitted by DJ    
Rating: 4.2308 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution | Comment 6 of 17 |
(In reply to Solution by Hot Date Dave)

Except that George's car came to a halt after 3.33 seconds, a second or two after he slid through the junction. Unless of course he instantaneously slammed it in reverse and accelerated backwards at 30f/s/s.

I guess this just proves that integral calculus and driving make a deadly combination!
  Posted by fwaff on 2003-10-02 12:59:23

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