Question

4 points in the square - see 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 .?

Answer 1

Initial positions are the corners, but after they start already point slowly inwards