NO CALCULUS 4 MUSKETEERS !
After a 30 years away the 4 musketeers (counting D'Artagnan !) finally set up a meeting in a Paris square. This square is a Square with each side equal L. The 4 mathematical points are located initially in its corners. They start moving heading all the time in the direction of the next "musketeer" See the image. The points' velocities are all equal V and are directed all the time toward the exact position of the next point.
Solve&prove WITHOUT calculus
1 All 4 meet in the center
2 Time from start to meeting is finite, and is..?
3 The Curve traced is .?

Question

NO CALCULUS 4 MUSKETEERS !
After a 30 years away the 4 musketeers (counting D'Artagnan !) finally set up a meeting in a Paris square. This square is a Square  with each side equal L.  The 4 mathematical points are located initially in its corners. They start moving heading all the time in the direction of the next "musketeer" See the image. The points' velocities are all equal V and are directed all the time toward the exact position of the next point.
Solve&prove WITHOUT calculus
1  All 4 meet in the center
2  Time from start to meeting is finite, and is..?
3 The Curve traced is .?

anonymous · Answer

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