River and boat velocity problem

AI Thread Summary
The river flows east at 1.20 m/s, while the boat travels north at 9.0 m/s relative to the water. The boat's velocity relative to the shore is calculated to be 9.08 m/s at an angle of 82.406 degrees north of east. To determine how far downstream the boat moves while crossing a 380m wide river, the time taken to cross must first be calculated. The time can be found by dividing the river width by the boat's northward velocity, and then this time can be used to find the downstream distance traveled.
akbro93704
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Homework Statement



(1) A River flows due east at 1.20 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.0 m/s due north relative to the water. I got the velocity of the boat relative to shore at 9.08 m/s at 82.406 degrees north of east. What about if the river is 380m wide, how far downstream has the boat moved by the time it reaches the north shore?

Homework Equations





The Attempt at a Solution


I got the velocity by setting up components and using the Pythagorean theorem and tangent. What do I do with the 380m to figure out how far downstream the boat has moved by the time it reaches north shore? thanks
 
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