A river crossing with drift

A river crossing with drift

6 marks
TGM Original
A river is 150 m wide, its banks running east–west. The current flows east at 2 m s-1. A boat points due north at speed 5 m s-1 through the water, starting from the origin on the south bank. Find its crossing time, landing position and ground speed.

Solution:

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Answer:\(30\text{ s};\quad(60,150)\text{ m};\quad\sqrt{29}\text{ m s}^{-1}\)

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