(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A river 500 ft wide flows with a speed of 8 ft/s with respect to the earth. A woman swims with a speed of 4 ft/s with respect to the water.

1) If the woman heads directly across the river, how far downstream is she swept when she reaches the opposite bank?

which I answered by first find the time (125 seconds) and then using a kinematics and finding that it was 1000m. It is correct.

...but the second question has been plaguing me all day.

2) If she wants to be swept a smaller distance downstream, she heads a bit upstream. If she heads 36° upstream, how far downstream is she swept before reaching the opposite bank?

2. Relevant equations

kinematics (X = X(initial) + V(initial) * t + (.5) * a * t(squared)) ...although acceleration is 0...

V (naught x) = V * Cos(theta)

V (naught y) = V * Sin(theta)

3. The attempt at a solution

well... I have tried many things. um... everything i can think of like using kinematics, to doing it just with geometry. I wont go into detail with all the process's because frankly I've lost track of them all. I have pages of notebook paper scribbled with math and what not. Here are some answers that i came up with that don't work. These are all rounded.

677ft, 1013ft, 239ft, 311ft, 403ft, 595ft, 540ft, 688ft, 701ft, 840ft, 845ft, 850ft, & 925ft.

Yes I understand that's quite an array of answers. I thought this was gonna be an easy problem but when i input the answer into my online homework, they're all wrong.

Could someone please explain how to do this one exactly? I wouldn't think it to be too complicated of a problem. Thanks for any help. :)

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# Homework Help: Mechanics - Swimmer going upstream at an angle

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