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Problem: Dr. L and his cat Kepler are coming home from fishing. They ended their trip on the south bank of a river, directly across a 1200 m wide river, from where Caroline was going to pick them up on the north bank. They are in identical boats that can travel at 4 m/s (Vb). The river is normally 'lazy' and flows with negligible velocity. On a calm day, if they pointed the boats north, they would cross the river in exactly 300 s. However, today the river is flowing due east with a constant velocity (Vw) of 1 m/s relative to the ground. Kepler, keeps the boat pointed due north for the entire trip.

*Phil notices what happened to Kepler when she fails to deal with the flow. He takes the water into account so that the path of his boat relative to the ground is due north. How long does it take Phil to cross the rover?

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Hello all, so my problem is with part 3, where it asks how long it takes for Phil to cross the river when he takes into account the current of the river (1 m/s East). I think what needs to be done is a calculation for Phil's velocity but I'm not sure how to go about this. So the problem says the boat can go 4 m/s (Vb), and I'm not sure how to configure the vectors to find the resultant velocity. I keep getting a setup like that I did in part one to find the cats velocity when it doesn't take into account the flow of water.

I have attached images of the problem, my solution for part 1, and my attempt at part 3.

Any help would be greatly appreciated!

P.S. I would love some tips on how to organize and label variables as I struggle with that.

*Phil notices what happened to Kepler when she fails to deal with the flow. He takes the water into account so that the path of his boat relative to the ground is due north. How long does it take Phil to cross the rover?

-------------------

Hello all, so my problem is with part 3, where it asks how long it takes for Phil to cross the river when he takes into account the current of the river (1 m/s East). I think what needs to be done is a calculation for Phil's velocity but I'm not sure how to go about this. So the problem says the boat can go 4 m/s (Vb), and I'm not sure how to configure the vectors to find the resultant velocity. I keep getting a setup like that I did in part one to find the cats velocity when it doesn't take into account the flow of water.

I have attached images of the problem, my solution for part 1, and my attempt at part 3.

Any help would be greatly appreciated!

P.S. I would love some tips on how to organize and label variables as I struggle with that.