Projectile Motion (No initial velocity)

AI Thread Summary
To determine the minimum initial speed required for a salmon to reach a waterfall 0.55 m high from a distance of 2.00 m, the projectile motion equations are applied. The vertical displacement equation incorporates the angle of jump and gravitational acceleration. By setting the vertical displacement to 0.55 m and the horizontal displacement to 2.00 m for a specific time, the initial speed can be calculated. Despite attempts to solve using various formulas, results have not aligned with those from a graphing calculator. The discussion emphasizes the need for accurate expressions for both vertical and horizontal displacements to find the initial speed.
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Homework Statement


A salmon starts 2.00 m from a waterfall that is 0.55 m tall and jumps at an angle of 32.0. What must be the salmon's minimum initial speed to reach the waterfall.


Homework Equations


\Deltay=visin\Theta\Deltat+1/2g\Deltat2

The Attempt at a Solution


I have tried all the related formulas for projectile motion, and I felt like I got somewhere a few times. But the results aren't really checking with a graphing calculator.
 
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Try to write expressions for the vertical and horizontal displacement at any given time (in terms of the unknown initial speed, ofcourse).

For some particular value of time, the vertical displacement will be 0.55m, and at the same time, the horizontal displacement will be 2m. You can use this information to find v.
 

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