Calculate the distance of the ship from the island

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Homework Help Overview

The problem involves calculating the distance of a ship from an island based on the time delay between hearing two blasts from the ship's horn. The scenario includes a survivor on an island, a vertical cliff, and the assumption of the speed of sound.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the distance using a formula involving speed and time, but expresses uncertainty about their result. Some participants question the reasoning behind the time delay and suggest clarifying the path of sound for both blasts.

Discussion Status

Participants are exploring different interpretations of the problem, with some suggesting the need for a diagram to visualize the sound paths. There is no explicit consensus on the correct approach or solution yet, but guidance is being offered to reconsider assumptions and clarify reasoning.

Contextual Notes

The problem is framed as a high school question, and there is an emphasis on keeping the explanation simple. The original poster's calculations and assumptions are being scrutinized, indicating potential gaps in understanding the scenario.

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Homework Statement


This is a pretty challenging question... if someone could solve it and confirm my answer I would appreciate it.

The survivor of a shipwreck lands on an island which is 3000 m from a vertical cliff.
He sees a ship anchored between the island and the cliff.A blast from the ship's horn is heard twice with a time lapse of 4 seconds.Calculate the distance s of the ship from the island.(Assume that the speed of sound is 330 m/s )


Homework Equations


v=d/t


The Attempt at a Solution



I'm getting 840 m... if someone has a difference answer please let me know how you did it.
And try to make it as simple as possible.. just a HS question
 
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Welcome to PF.

Perhaps you can explain how you arrived at that number?
 
Well actually now I'm starting to believe that isn't correct anymore.
This is how I am doing it now.

6000-s over 330 - s over 330 = 4

With this I'm arriving at a different solution, which I think is correct.
 
Draw a picture.

You said the survivor hears the horn twice. If the sound was heard twice, how did this happen?

On your diagram, draw the path that the sound must take for both the first and the second blasts.

Obviously the second blast had to travel further if it got there later. How much further did this second blast need to travel??
 
xcalibur said:
Well actually now I'm starting to believe that isn't correct anymore.
This is how I am doing it now.

6000-s over 330 - s over 330 = 4

With this I'm arriving at a different solution, which I think is correct.

If you were standing on the boat, and you rang the bell, when would you hear the echo? At 330m/s how far away from you would the cliff be at that point?
 

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