nearring2d

nearring2d - Drop by When You are Near the Ring - - - - - -...

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Sheet1 Page 1 Drop by When You are Near the Ring ---- -- ---- --- --- ---- --- ---- Oliver lives on a ring, a rather large spinning circle of metal in space. He and his fellow Dogplovians get around in one-time-spaceships, which are discarded after a single use. Typically, to get home Oliver aims his current ship more or less at the ring, fires the motor till its empty, then waits till he is closest to the ring, hops in his personal spacepod, and motors straight home in it. Oliver has lost his computer programs and desperately needs you to write him one that will calculate when he is closest to his ring. In Dogplovian coordinates, the ring is in the xy plain centered on the origin. The input is the point where Oliver fired his motor and the velocity achieved (instantaneously for computational purposes). For convenience assume the motor is fired at time 0. Note that distance to the ring is measured from the spaceship to the nearest point on the ring, as once Oliver gets to the ring he takes the `circle train' to

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nearring2d - Drop by When You are Near the Ring - - - - - -...

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