Problem: The speed of a boat in still water is v. The boat is to make a round trip in a river whose current travels at speed exttip{u}{u}.Derive a formula for the time needed to make a round trip of total distance exttip{D}{D} if the boat makes the round trip by moving upstream and back downstream.Derive a formula for the time needed to make a round trip of total distance exttip{D}{D} if the boat makes the round trip by moving directly across the river and back.

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Problem Details

The speed of a boat in still water is v. The boat is to make a round trip in a river whose current travels at speed .

Derive a formula for the time needed to make a round trip of total distance if the boat makes the round trip by moving upstream and back downstream.

Derive a formula for the time needed to make a round trip of total distance if the boat makes the round trip by moving directly across the river and back.

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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.