A bug starts at the top-right corner of a square and marches counterclockwise around the perimeter of the square at a uniform speed. A spider starts at the bottom-right corner of the square and moves at the same speed as the bug, always in the direction of the bug. Where is the spider when the bug reaches the top-left corner? Does the spider catch the bug?
2 comments:
I believe spider is going to catch the bug in the end. I couldn't solve the equations I wrote, because the angle between the bug's and spider's velocity vectors is not changing smoothly.
However a quick simulation gives this picture.
The spider is getting closer and closer at each turn.
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