Solving for Salmon's Speed: vi = ?

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To determine the initial velocity (vi) a salmon needs to jump a 1.3 m waterfall, the equation vf^2 = vi^2 + 2ad is used, with final velocity (vf) set to 0 m/s and acceleration (a) as -9.8 m/s^2. The calculation leads to vi = 5.05 m/s, which is mathematically correct. However, this speed assumes a vertical jump, which is not realistic for a salmon's actual jumping behavior. Despite its impracticality, the calculated speed accurately answers the posed question.
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a salmon has to jump a 1.3 m falls to complete its journey. How fast must is be going when it leaves the water to reach the water on top of the falls?

vi = ?
vf = 0 m/s (can i assume this)
a = -9.8 m/s^2
d = 1.3 m
t = ?

use vf^2 = vi^2 + 2ad to find vi

0 = vi^2 + 2(-9.81)(1.3)

but can't take the square root of a negative number?? this is where i am stuck...
 
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There is no square root of a negative number required. Isolate the vi^2 term
 
so vi = 5.05 m/s.. is this right?
 
petuniac said:
so vi = 5.05 m/s.. is this right?
Correct. It is a bit unrealistic though. That would be correct if the salmon could jump vertically to reach the top, which of course is not possible. But it is the correct answer to the question as it was asked.
 
thanks for your help!
 
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