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 Bumper Cars (Posted on 2004-12-30)
Some bumper cars are moving around a circular track at the same constant speed. However, they are not all going in the same direction. Collisions are perfectly elastic, so that two colliding cars instantaneously change directions (and continue at the same speed).

Show that at some point in the future, all the cars will be back to their starting positions and directions. Assume that each car has no length.

 See The Solution Submitted by David Shin Rating: 2.5000 (4 votes)

 Subject Author Date Stop the race! Trouble on the track! Steve Herman 2013-05-19 09:46:26 No Subject Michael Kornrade 2005-11-12 18:00:43 ahh aldfj 2005-04-14 22:12:25 No Subject david 2005-03-22 13:10:59 Solution Vlad Dracul 2005-01-28 01:12:14 re: Solution 3llis 2005-01-13 13:45:30 re: thought Charlie 2005-01-01 16:57:18 thought Tristan 2005-01-01 16:47:03 re(2): Solution Charlie 2004-12-31 13:32:58 re: Solution Vee-Liem Veefessional 2004-12-31 07:52:09 re(2): Solution -- another way of looking at it Larry 2004-12-31 01:54:38 re: Solution -- another way of looking at it Charlie 2004-12-30 18:58:58 Around in circles Avin 2004-12-30 18:40:25 Solution Larry 2004-12-30 18:12:07

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