FYKOS Year 28 Series 5 Problem 3 — matfyz tag · FYKOS 28 #28.5.3
Physics · mechanics
Problem
N people decide to play tag but not the normal variety. At the start they stand in the vertices of a regular N−gram of a side a. The game then proceeds so that everyone chases (goes to him in a straight line)his neighbour on the right (anti-clockwise). Everyone moves with the same constant velocity v. Describe the progress of the game (trajectory on which the players move) and determine how quickly the game will end depending on the parameters N, and, v.