How Does River Flow Affect a Swimmer's Resultant Velocity?

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SUMMARY

The discussion centers on calculating the resultant velocity of a swimmer crossing a river. A swimmer with a speed of 4.5 m/s is affected by a river current flowing at 3.8 m/s. The correct approach involves vector addition, where the swimmer's velocity is combined with the river's flow, resulting in a resultant velocity that is not simply a subtraction of the two speeds. The formula used is vector addition, specifically V_{12} = V_1 + V_2, where V_1 is the swimmer's velocity and V_2 is the river's current.

PREREQUISITES
  • Understanding of vector addition in physics
  • Basic knowledge of trigonometric functions (sine, cosine, tangent)
  • Familiarity with resultant velocity calculations
  • Concept of relative motion in fluid dynamics
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  • Study vector addition in physics, focusing on resultant velocity
  • Learn how to apply trigonometric functions to resolve vectors
  • Research fluid dynamics principles affecting swimming performance
  • Explore practical examples of swimming in currents and their impact on speed
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Swimmers, physics students, coaches, and anyone interested in understanding the effects of river currents on swimming performance.

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1.A girl can swim 4.5m/s. If she tries to swim across a river flowing at 3.8m/s, what is her resultant velocity?



2. cosine, sine, tangent, v=vf -v i



3. would i just subtract 3.8m/s from 4.5m/s in order to find the velocity?
 
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Note, she is swimming ACROSS a river, not against the stream.
\vec V_{12}= \vec V_1-\vec V_2
 
So you would add the two numbers rather then subtract them??
 
oh oops. i meant to say that i would subtact 4.5 from 3.8 instead and it would be negative?
 
vector addition.
 

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