Sunday, May 8, 2011

Some fun

Here is a fun problem which you may want to look at.



Four rockets are placed at the corners of a square of side 20 km. Each of the
rockets moves in such a way that it remains pointed towards the nose of the one
next to it in clockwise sense. Let us say the rockets move at a speed of 4 km per
sec each. Find out whether they will collide, if yes the time and location of collision
and their trajectory. (Source : Puzzle Math, George Gamow)

There is a quick way to guess the answer, but find the answer using our old
classical mechanics.

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