A river flows east at 3 m s-1. A boat travels due north at 4 m s-1 relative to the water, starting a

Question

A river flows east at 3 m s-1. A boat travels due north at 4 m s-1 relative to the water, starting at the origin on the south bank. The banks are straight, parallel and 120 m apart. Find the boat’s velocity relative to land, its speed, the time taken to reach the north bank and its position then. Find its bearing of travel to the nearest degree.

Accepted Answer

$3\mathbf i+4\mathbf j\text{ m s}^{-1}$, $5\text{ m s}^{-1}$, $30\text{ s}$, $90\mathbf i+120\mathbf j\text{ m}$, bearing $037^\circ$.

A crossing in flowing water

A crossing in flowing water

Solution:

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