Difference between revisions of "Mock AIME 3 2006-2007 Problems/Problem 8"
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A cube has vertices <math>(0,0,0), (0,0,1), (0,1,0), (0,1,1), (1,0,0), (1,0,1), (1,1,0)</math>, and <math>(1,1,1)</math>. At <math>t=0</math>, a particle is at <math>(12,12,0)</math>. After one second, the particle travels to <math>(\frac{9}{16},\frac{5}{8},\frac{1}{13})</math>. The particle bounces until it hits an edge or a corner at which point it stops. If the particle travels in straight lines with uniform speed, find the time (in seconds) when the particle stops motion. | A cube has vertices <math>(0,0,0), (0,0,1), (0,1,0), (0,1,1), (1,0,0), (1,0,1), (1,1,0)</math>, and <math>(1,1,1)</math>. At <math>t=0</math>, a particle is at <math>(12,12,0)</math>. After one second, the particle travels to <math>(\frac{9}{16},\frac{5}{8},\frac{1}{13})</math>. The particle bounces until it hits an edge or a corner at which point it stops. If the particle travels in straight lines with uniform speed, find the time (in seconds) when the particle stops motion. | ||
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Revision as of 20:39, 15 February 2015
Problem
A cube has vertices 
, and 
. At 
, a particle is at 
. After one second, the particle travels to 
. The particle bounces until it hits an edge or a corner at which point it stops. If the particle travels in straight lines with uniform speed, find the time (in seconds) when the particle stops motion.
