Crossing a River A captain needs to pilot a boat across a river that is $2 \mathrm{km}$ wide. The current in the river is $2 \mathrm{km} / \mathrm{h}$ and the speed of the boat in still water is $10 \mathrm{km} / \mathrm{h}$. The desired landing point on the other side is $1 \mathrm{km}$ upstream. (a) Determine the direction in which the captain should aim the boat. (b) How long will the trip take?
Added by Andrew M.
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We can break down the boat's velocity into two components: one parallel to the river current (horizontal) and one perpendicular to the river current (vertical). Show more…
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Crossing a River A captain needs to pilot a boat across a river that is 2 km wide. The current in the river is 2 km/h and the speed of the boat in still water is 10 km/h. The desired landing point on the other side is 1 km upstream. (a) Determine the direction in which the captain should aim the boat. (b) How long will the trip take?
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A boatman wants to cross a canal that is 3 $\mathrm{km}$ wide and wants to land at a point 2 $\mathrm{km}$ upstream from his starting point. The current in the canal flows at 3.5 $\mathrm{km} / \mathrm{h}$ and the speed of his boat is 13 $\mathrm{km} / \mathrm{h}$ . (a) In what direction should he steer? (b) How long will the trip take?
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