Crossing Mohawk Bridget: Vector Diagram & Time Needed

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Brigget plans to swim across the Mohawk River, which is 200 meters wide, with a swimming speed of 5 m/s and a current of 3 m/s eastbound. To reach her destination on the opposite shore, she must swim at an angle upstream to counteract the current. The net velocity calculated is 4 m/s, leading to a crossing time of 50 seconds. The discussion emphasizes the importance of determining the correct heading relative to the moving water. The solution involves both vector diagramming and understanding the impact of the current on her path.
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Brigget decides to swim over to Llenorce from the south shore. given she can swim at 5 m/s, the current is 3 m/s eastbound and the width of the mohawk river is 200 meter at that point. in what specific direction must she travel to reach its destination? Diagram the vectors, find her net velocity and detemine the time needed to cross the river?
 
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Show us your attempt to solve this problem.
 
25-9=16
square root of 16= 4 m/s
average velocity= d/t
200/4= 50 seconds
 
pharaoh said:
25-9=16
square root of 16= 4 m/s
average velocity= d/t
200/4= 50 seconds
That looks good. It appears you have recognized that she must swim somewhat upstream to cancel the effect of the current. Part of the question was the direction she must travel to accomplish this. I assume they meant travel relative to the moving water rather than the shore. Did you find the heading?
 

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