Four boats chasing

Classical Mechanics Level 1

Four boats are on a large lake arranged so that they form the corners of a square of edge length \(\ell = 1\text{ km}.\)

At time zero, each boat starts moving with velocity \(v_\textrm{boat} = \SI[per-mode=symbol]{10}{\kilo\meter\per\hour}\) such that its bow is always pointed directly toward its counterclockwise neighbor.