FYKOS Year 26 Series 4 Problem 3 — A rubber duck · FYKOS 26 #26.4.3
Physics · mechanics
Problem
A passanger on a ferry forgot to set the parking brake. Assume that the axis of the car is aligned with the axis of the ferry, and that because of waves the ferry is undergoing a harmonic motion, i.e. φ(t)=Φ\sin\left(ωt). How far from the edge of the ferry can the passenger park the car without worrying about it falling into the sea? Assume that the maximal amplitude of oscillations is slowly increasing from zero to Φ.