FYKOS Year 27 Series 4 Problem 3 — Seagull · FYKOS 27 #27.4.3

Physics · mechanics

Problem

Two ships are sailing against each other, the first one with a velocity u1=4  m⋅s−1u_{1}=4\;\mathrm{m}\cdot \mathrm{s}^{−1} and the second with a velocity of u2=6  m⋅s−1u_{2}=6\;\mathrm{m}\cdot \mathrm{s}^{−1}. When they are seperated by s0=50  kms_{0}=50\;\mathrm{km}, a seagull launches from the first ship and flies towards the second one. He is flying against the wind, his speed is v1=20  m⋅s−1v_{1}=20\;\mathrm{m}\cdot \mathrm{s}^{−1}. When he arrives to the second ship he turns around and flies back now with the wind behind his back with a velocity v2=30  m⋅s−1.Hev_{2}=30\;\mathrm{m}\cdot \mathrm{s}^{−1}.He keps on flying back and forth until the two ships meet. How long is the path that he has undertaken?

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