Solving for Salmon's Speed: vi = ?

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Homework Help Overview

The problem involves calculating the initial velocity required for a salmon to jump over a 1.3 m waterfall. The context is rooted in kinematics, specifically analyzing motion under gravity.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use the kinematic equation vf^2 = vi^2 + 2ad to find the initial velocity (vi). They express confusion regarding the square root of a negative number in their calculations.
  • Some participants question the assumptions made about the jump, particularly regarding the feasibility of a vertical jump.

Discussion Status

Participants have engaged in clarifying the calculations and assumptions. One participant suggests isolating the vi^2 term to resolve the confusion. There is acknowledgment of the calculated value, but also a recognition of its unrealistic nature in the context of the problem.

Contextual Notes

There is an implicit assumption that the salmon can achieve a vertical jump, which may not reflect real-world conditions. The discussion also touches on the limitations of the kinematic equations in this scenario.

petuniac
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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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