Solving for Salmon's Speed: vi = ?

  • Thread starter petuniac
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In summary, the salmon needs to be going at a speed of 5.05 m/s when it leaves the water in order to reach the top of the 1.3 m falls. This is calculated using the formula vf^2 = vi^2 + 2ad, where vf is 0 m/s, a is -9.8 m/s^2, and d is 1.3 m. The salmon cannot jump vertically to reach the top, so this answer may not be entirely realistic.
  • #1
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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  • #2
There is no square root of a negative number required. Isolate the vi^2 term
 
  • #3
so vi = 5.05 m/s.. is this right?
 
  • #4
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.
 
  • #5
thanks for your help!
 

1. What is the formula for solving for salmon's speed?

The formula for solving for salmon's speed is vi = d/t, where vi represents the initial velocity, d represents the distance traveled, and t represents the time taken.

2. How do you determine the initial velocity of a salmon?

To determine the initial velocity of a salmon, you need to know the distance it traveled and the time it took to travel that distance. Then, plug those values into the formula vi = d/t and solve for vi.

3. Can you use this formula for any type of salmon?

Yes, this formula can be used for any type of salmon as long as you have the necessary information about its distance and time of travel.

4. Is this formula accurate for measuring salmon's speed?

This formula provides a good estimate of a salmon's speed, but it may not be completely accurate as other factors such as water currents and the salmon's behavior can also affect its speed.

5. How can you use this formula to study salmon populations?

By using this formula to calculate the speed of multiple salmon over a period of time, scientists can gather data on the overall speed and behavior of the salmon population. This information can help with conservation efforts and understanding the health of the population.

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