Relative Velocity Swimmer Problem

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SUMMARY

The Relative Velocity Swimmer Problem involves a swimmer moving at 0.15 m/s relative to the water in a river with a current of 0.75 m/s. In 1.5 minutes, the swimmer is carried downstream by 67.5 meters. The swimmer's velocity relative to an observer on shore is calculated to be 0.75 m/s downstream. This problem illustrates the principles of relative velocity and vector addition in fluid dynamics.

PREREQUISITES
  • Understanding of relative velocity concepts
  • Basic knowledge of vector addition
  • Familiarity with units of speed (m/s)
  • Ability to perform calculations involving time and distance
NEXT STEPS
  • Study vector addition in physics
  • Learn about relative velocity in fluid dynamics
  • Explore problems involving currents and motion in rivers
  • Review kinematic equations for motion in two dimensions
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and fluid dynamics, as well as educators looking for practical examples of relative velocity applications.

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Homework Statement



A swimmer maintains a speed of 0.15 m/s relative to the water when swimming directly toward the opposite shore of a straight river with a current that flows at 0.75 m/s.

(a) How far downstream is the swimmer carried in 1.5 minutes?

(b) What is the velocity of the swimmer relative to an observer on shore?


Homework Equations



I'm not sure, sorry.

The Attempt at a Solution




I know this involves relative velocity and maybe vectors, but I am unsure. Please help.

Thank you very much.
 
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Sorry for wasting your time, I think I understand it now.
 

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