Solving a Motion Problem in 2 Dimensions

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To minimize downstream displacement while crossing a 100-meter river with a current of 20 m/s, the man must adjust his angle relative to the flow. His velocity in still water is 10 m/s, and the goal is to achieve a net down-river velocity of zero while maximizing his velocity across the river. The discussion emphasizes resolving the vectors of the river's current both horizontally and vertically to find the optimal angle. Understanding the concepts of maximum and minimum in vector motion is crucial for solving this problem. This scenario illustrates the application of vector analysis in two-dimensional motion.
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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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