Problem: A river runs downhill with speed v R. A boat crosses the river with speed v B (both with respect to the river), making an angle α uphill perpendicular to the river (see figure). What is the speed of the boat with respect to the ground?

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Problem Details

A river runs downhill with speed v R. A boat crosses the river with speed v B (both with respect to the river), making an angle α uphill perpendicular to the river (see figure). What is the speed of the boat with respect to the ground?

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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.

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Based on our data, we think this problem is relevant for Professor Dos Reis Falcao's class at UM.