Velocity problem set up (I think it is velocity)

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SUMMARY

The discussion focuses on a physics problem involving a boat crossing a river with a current. The boat travels at 12.0 km/h in still water while the river flows at 2.0 km/h. To ensure a straight path across the river, the boat must be directed at a specific angle upstream to counteract the current. The solution requires understanding vector addition to determine both the angle of direction and the resultant speed relative to the shore.

PREREQUISITES
  • Understanding of vector addition in physics
  • Basic knowledge of relative velocity concepts
  • Familiarity with trigonometric functions for angle calculations
  • Ability to apply the Pythagorean theorem in two-dimensional motion
NEXT STEPS
  • Study vector addition in physics, focusing on resultant vectors
  • Learn how to calculate angles using trigonometric functions
  • Explore relative velocity concepts in fluid dynamics
  • Practice problems involving boats and currents to solidify understanding
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This discussion is beneficial for students new to physics, particularly those studying mechanics and vector motion, as well as educators seeking to explain concepts of relative velocity and motion in fluids.

MarieWynn
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Homework Statement



A boat capable of making 12.0 km/h in still water is used to cross a river flowing at speed of 2.0 km/h. The boat is directed (from the perpendicular to the shore) in such a way that its resulting motion is straight across the river.
At what angle (in degrees) must the boat be directed?
What is the resultant speed relative to the shore?


Homework Equations


That's the problem I am having. I have no clue how to set up this problem (I'm extremely new to physics).


The Attempt at a Solution


Again, no attempt yet because I am stuck on set up. Which is really all I need help with--just figuring out how to set it up, not the math. Thanks :)
 
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In order for the boat to make it straight across the river, it's going to have to aim for a point upstream, since the current is going to push downstream, right? (Think vector math)
 

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