What is the resultant speed and resultant angle of the boat?

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Homework Help Overview

The problem involves a rowboat crossing a river, with given speeds for both the boat and the river current. The original poster seeks to determine the resultant speed and angle of the boat's path.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants suggest visualizing the problem with vector diagrams to better understand the relationship between the boat's speed and the river's current. Questions arise regarding the boat's intended direction relative to the river flow.

Discussion Status

Participants are exploring different methods to approach the problem, including the use of vector diagrams and free body diagrams. Some guidance has been provided regarding the application of Pythagorean principles to the situation.

Contextual Notes

The original poster expresses uncertainty due to a lack of recent practice with similar problems. There is a mention of basic equations, but no specific formulas or solutions have been detailed in the discussion.

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Homework Statement



A rowboat starts across river. If the average speed of the boat is 5.39 m/s and the river is flowing at a speed of 2.91 m/s, what is the resultant speed and resultant angle of the boat?

i know this is super basic but i havn't done this type of problem since the beginning of the year.

Homework Equations


v=d/t


The Attempt at a Solution


vi=o m/s
0m/s=d/2.91m/s
d=0m
 
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Instead of trying to do this purely with equations set up a picture of what's going on. Lay out the respective velocities as vectors and see if you can work from there.
 


Is the boat trying to go straight across or is it just going to go straight in reference to the water?
 


Clever-Name said:
Instead of trying to do this purely with equations set up a picture of what's going on. Lay out the respective velocities as vectors and see if you can work from there.

so i drew a picture but I am not really getting what you mean by laying out the respective velocities as vectors
 


Are you familiar with free body diagrams (while usually taught using forces you can apply the same principle to velocity vectors)? Here is my interpretation of the question as a picture:
 

Attachments

  • River.jpg
    River.jpg
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These thing usually work out to Pythagorean triangles. Think of it that way and see if you can get an answer
 


mburt said:
These thing usually work out to Pythagorean triangles. Think of it that way and see if you can get an answer

thanks for the help. i got it right! :)
 

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