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Question

A pirate ship is looking for a sunken ship under sea.SONAR was launched vertically downwards and it took 2.32s to come back.If the seabed is 1700m , have the found a sunken ship? If yes, what's the height of the sunken ship?

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Solution

Answer provided by our Subject Expert was incorrect. The correct answer is as follows.

SONAR = SOund Navigation And Ranging
Speed of sonar in water = 1450 m/s ( usually given in the question )

We are given that sound wave returns in 2.32 seconds after hitting the top of the ship.
One way journey will be covered in 2.32 / 2 = 1.16 s

In 1.16 s the SONAR can travel (1.16*1450 )= 1682m
Given that seabed is at 1700m , So the height of Ship will be (1700-1682)= 18m

Note : SONAR is just a sound wave and will not be affected by gravity neither will have any initial or final velocity as stated by our expert.
You can read more about SONAR in the following article

https://byjus.com/physics/characteristics-of-sound-waves/

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