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Outfoxing a fox (Posted on 2019-02-23) Difficulty: 3 of 5
A rabbit is trying to avoid detection by a nearby fox.

Initially, the fox and the rabbit are out of each other's sights as they are on opposite sides of a tree at the origin with the rabbit 1 unit North and the fox 1 unit South.

The fox starts to run directly to the left in a straight line with a constant speed 1 unit.

To avoid detection, the rabbit starts to run along a certain path with a constant speed 2 units, so as to always keep the tree between itself and the fox.

Find the differential equation which describes the path (in polar coordinates) of the hiding rabbit.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionSolutionFrankM2019-02-24 19:56:38
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