How High Can a Salmon Jump if It Leaps at 2.5 Meters Per Second?

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SUMMARY

A salmon leaping at a speed of 2.5 meters per second can be analyzed using the equations of motion and the principles of energy conservation. The relevant equations include V final = V initial + A(t) and X final = X initial + V initial (t) + 1/2A(t^2), with acceleration set at 9.81 m/s² due to gravity. By applying these formulas, one can calculate the maximum height the salmon can achieve above the water surface. Additionally, the conservation of energy principle indicates that the kinetic energy of the salmon converts into potential energy during its jump.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity, acceleration, and energy conservation.
  • Familiarity with kinematic equations for motion analysis.
  • Knowledge of gravitational acceleration, specifically 9.81 m/s².
  • Ability to solve quadratic equations for determining maximum height.
NEXT STEPS
  • Study kinematic equations in detail to understand motion under constant acceleration.
  • Explore the concept of energy conservation in physics, particularly kinetic and potential energy.
  • Learn how to derive maximum height from initial velocity using the equations of motion.
  • Practice solving problems involving projectile motion and vertical jumps.
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in understanding the mechanics of jumping in aquatic animals.

mandaa123
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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 2.5 meters per second, how high can it jump above water?


Homework Equations


i don't know, because all i know is speed.



The Attempt at a Solution


is acceleration 9.81 in this? i don't know how to figure it out : [
 
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the formulas you need are:

V final = V initial + A(t)

and

X final = X initial + V initial (t) + 1/2A(t^2)

where x is distance, v is velocity and a is acceleration (yes, 9.81 m/s^2)

write'em down, I'm sure they're in your book, and should get you started on all your problems.
 


You may as well approach the question from the conservation of energy side. Kinetic energy gest converted into potential during flight.
 

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