How high can a salmon jump above the water if it swims at 5m/s?

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SUMMARY

A salmon swimming straight upward at a speed of 5 m/s can be analyzed using the principles of kinetic and potential energy. The kinetic energy at the moment it breaks through the water is given by E = 1/2 * mv², while the potential energy at its highest point is E = mgh. By equating these two forms of energy, one can derive the maximum height the salmon can reach above the water. The correct approach involves setting the kinetic energy equal to the potential energy to solve for height (h).

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Homework Statement



If a salmon swims straight upward in the water fast enough to break through the surface at a speed of 5m/s, how high can it jump above the water?

Homework Equations


I am not sure which equation to use.

The Attempt at a Solution



0 + 5/2 = 2.5m ??

Is this correct? If not, which equation do I have to use?
 
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I would use the energy principle. When it breaks through the water it has only kinetic energy E=1/2*mv2. At it's highest point it has only potential energy E=mgh (where h is the height, I'm not really sure if h is used worldwide or if it's just here in Finland). This gives you an equation system.
 
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Hi mkerikss! Welcome to PF! :smile:

Yes, I think h is height everywhere that has an h. :biggrin:
 

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