Math/physics problem?

Question

A--------B

|--------- |

D-------C

There are four points which lie on a square of side a units. Point A starts chasing B with velocity v units/sec. At the same time B starts chasing C, C starts chasing D and D starts chasing A. All points travel with a velocity if v units/sec.

Can you tell me where all the four meet ? And at what time ? What will be the shape of the path traversed by A,B,CD

Answer 1

They meet in the center of the square and travel a distance of 1 unit each. Therefore, the time is 1/v seconds. The shape of their path will be four logarithmic spirals.

I know this because I have answered a very similar question recently. Please look for detailed analysis and derivation at the link

http://answers.yahoo.com/question/index?...