Calculate the distance of the ship from the island

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The discussion revolves around calculating the distance of a ship from an island based on the time it takes for sound to travel. A survivor hears a ship's horn blast twice with a 4-second interval, and the speed of sound is given as 330 m/s. Initial calculations suggested a distance of 840 m, but further analysis indicates that the second sound must have traveled a longer distance. The equation used to solve the problem involves the distances traveled by sound from the ship to the cliff and back. The conversation emphasizes the importance of visualizing the scenario to understand the sound's travel paths.
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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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