Solving a Motion Problem in 2 Dimensions

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SUMMARY

The discussion focuses on solving a two-dimensional motion problem involving a man crossing a 100-meter wide river with a velocity of 10 m/s in still water while the river flows at 20 m/s. The goal is to determine the angle at which the man should swim to minimize his downstream displacement. The solution involves applying vector resolution techniques to analyze the horizontal and vertical components of the velocities, emphasizing that this is a vector problem rather than a projectile motion problem.

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rishiraj20006
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Frendz , here is a problem of motion in 2 dimensions. I simply stuck in basics .

A man wants to cross a river 100mt long He has a velocity of 10m/s in still water and river has a velocity of 20m/s. What angle should he make with flow of river so that displacement from where he started initially should be minimum?

I guess some concept of maximum and minimum will be used here but I don’t know how to apply
 
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Think of this in terms of vectors. I think the question is asking for the man's down-river vecocity to be 0 and his velocity across the river to be a maximum. Let us know if you need further assistance.
 
No need to shout. This is not a projectile question but instead a vector question. Resolve the rivers vectors horizontally and vertically first.
 

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