How to Calculate Time and Displacement for a Ferry Boat Crossing a River?

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To calculate the time and displacement for a ferry crossing a river, the ferry's velocity relative to the shore is determined to be 6.2 m/s. The crossing time can be calculated using the river width of 850 meters and the ferry's effective velocity. Displacement during the crossing involves understanding the relationship between the boat's velocity relative to the water and the current's velocity. The discussion highlights that the order of velocity vectors does not affect the calculations, as any two vectors can be used to find the third. The key confusion lies in applying the correct formulas for time and displacement based on the given velocities.
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Homework Statement



A ferry boat is crossing a river that is 8.5 x 10^2m wide. The average velocity of the waer relative to the shore is 3.8m/s (e) and the average velocity of the boat relative to the water is 4.9m/s (s).

Homework Equations





The Attempt at a Solution


So i got the first part down where it says to determine velocity of the ferry boat relative to the shore. I got 6.2m/s [E52*S].

part b) and c) is what i don't get.

b) How long does the crossing take?

c) Determine the displacement of the boat as it crosses from the north shore to the south shore.

Also another thing that confuses me is the velocities. Should it be for example water to shore, shore to boat, boat to water? Instead its like water to shore, boat to water, then it asks boat to shore. I don't know if its big deal but was just wondering because in examples in our book it has it going in order if that makes sense.
 
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You have three vectors, given any two you can calculate third - so order doesn't matter.

You are given distance, you are given velocity, where is the problem with calculating time? I guess velocity of the boat relative to water is perpendicular to shore, which makes calculations pretty simple.
 
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