FYKOS Year 34 Series 2 Problem 2 — land ahoy · FYKOS 34 #34.2.2

Physics · mechanics

Problem

Cathy and Catherine are watching a ship which is sailing with a constant speed towards a port. Cathy is standing on a rock above the port and her eyes are h1=20 mh_1=20\,\mathrm{m} above the surface of the water. Catherine is standing under the rock and her eyes are h2=1.7 mh_2=1.7\,\mathrm{m} above the surface of the water. If Catherine sees the top of the incoming ship t=25 mint=25\,\mathrm{min} after Cathy sees it, what is the time of arrival of the ship to the port? Assume that the Earth is a perfect sphere with a radius r=6378 kmr=6378\,\mathrm{km}.

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