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Week 76 (2/23/04)
Crawling ant
A rubber band with initial length L has one end tied to a wall. At t = 0, the other
end is pulled away from the wall at speed V (assume that the rubber band stretches
uniformly). At the same time, an ant located at the end not attached to the wall
begins to crawl toward the wall, with speed u relative to the band. Will the ant
reach the wall? If so, how much time will it take?

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Prob76

  • 1. Week 76 (2/23/04) Crawling ant A rubber band with initial length L has one end tied to a wall. At t = 0, the other end is pulled away from the wall at speed V (assume that the rubber band stretches uniformly). At the same time, an ant located at the end not attached to the wall begins to crawl toward the wall, with speed u relative to the band. Will the ant reach the wall? If so, how much time will it take?