Problem: A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 110 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C , 75.0 m downstream from B .Where on the north shore will you land if you point your boat perpendicular to the water current?If you initially aim your boat directly toward point C and do not change that bearing relative to the shore, where on the north shore will you land?To reach point C at what bearing must you aim your boat?What distance will you have traveled?How long will it take to cross the river?What distance do you travel?What is the speed of your boat as measured by an observer standing on the river bank?

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Problem Details

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 110 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C , 75.0 m downstream from B The figure shows a 400.0 meters wide river that flows from west to east at a speed of 30.0 meters per minute. There are 3 docks shown on the banks. Dock A is on the south bank. Dock B is on the north bank directly opposite to dock A. Dock C is also on the north bank to the east from dock B..

Where on the north shore will you land if you point your boat perpendicular to the water current?

If you initially aim your boat directly toward point C and do not change that bearing relative to the shore, where on the north shore will you land?

To reach point C at what bearing must you aim your boat?

What distance will you have traveled?

How long will it take to cross the river?

What distance do you travel?

What is the speed of your boat as measured by an observer standing on the river bank?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Relative Velocity in 2D concept. You can view video lessons to learn Relative Velocity in 2D. Or if you need more Relative Velocity in 2D practice, you can also practice Relative Velocity in 2D practice problems.