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Unformatted text preview: on the circle. d/v will be time taken by duck to reach edge whereas pi*R/4v will be time taken by fox to reach the same point For duck to reach safely at edge d/v <= pi*R/4v that is d <= (pi/4)*R If duck starts circling in the pond exactly at distance d1 then 2*pi*d1/v <= 2*R/4v therefore the duck should start circling at d1 radius = R/4. Bobby Mesa CSC1310 Extra credit Now if duck reduces the circling radius even slightly, the possibility of living fox behind will increase. When the fox and duck are exactly opposite, the duck can start swimming towards edge. Now, the remaining distance to edge is (3/4) R. as the remaining distance is (3/4)R is lesser then (pi/4)R. The duck can reach edge safely and fly. For duck to start swimming towards edge from a point d distance from Edge and assume the fox is exactly opposite the duck....
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- Spring '09