Finding the displacement of a object as viewed through water

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To calculate the apparent displacement of an object viewed underwater, the relevant formula involves the refractive index of water. Snell's Law can be used to derive the necessary calculations for determining the new angle and height of the object. A recommended resource provides a detailed explanation of these concepts, making it easier to understand the math involved. The discussion also touches on the practical challenges faced by fishermen when trying to spear fish from a boat. Understanding these principles can enhance the fishing experience and improve accuracy.
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hi everybody, suppose we are viewing an object in a pool whereby the object is actually at the bottom of the pool, ...so it will appear as if it has been displaced. what formula can we use to calculate the displacement of the object...??
are there any conditions applicable..help me with this detail please
 
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Are you a frustrated harpoon fisherman? I have spent ages trying to spear fish from the side of a boat. The Maths is not hard -
http://www.physicstutorials.org/home/optics/refraction-of-light/apparent-depth-real-depth" gives you the formula but it's hard to work it out on the fly and amidst the excitement of a massive Grey Mullett going past.
 
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nah man, there do have a formula related to the refractive index...
 
It's on that link for you to use at your leisure. The formula gives both the new angle and the new height. But, if you know Snell's Law, you should be able to derive it for yourself. At least, their derivation makes easy sense.

I'll get back to my fishing when my future son in law buys a new harpoon to replace the one he chucked over the side by mistake.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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