HMMT 2006 K3
- Calculus
At time 0 , an ant is at and a spider is at . The ant starts walking counterclockwise along the unit circle, and the spider starts creeping to the right along the -axis. It so happens that the ant's horizontal speed is always half the spider's. What will the shortest distance ever between the ant and the spider be?
Dataset text NuminaMath olympiads. Quoted with source.
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