Eric
I recently received this query from a student.

How do I apply the rules of uncertainty propagation to this kinematics equation, to find Δv?
v2 = u2 + 2as


Rules of uncertainties propagation (which you must be familiar with):
If a = b + c, then Δa = Δb + Δc
If a = bc2, then Δa/a = Δb/b + 2Δc/c

Do give it a try!
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elsa_ate_anna
Eric wrote:
I recently received this query from a student.

How do I apply the rules of uncertainty propagation to this kinematics equation, to find Δv?
v2 = u2 + 2as


Rules of uncertainties propagation (which you must be familiar with):
If a = b + c, then Δa = Δb + Δc
If a = bc2, then Δa/a = Δb/b + 2Δc/c

Do give it a try!


I am quite lost......does this have anything to do with the Heisenberg uncertainty principle?
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Eric
No... not at all. This is about Uncertainties from the first chapter. It's a challenging Uncertainties question for you to think about (even though Uncertainties is considered to be relatively easy, it seems that quite a few students have trouble with it).

2 hints:
1) The first step of this should be:
Δv2 = Δu2  + Δ(2as)

2) Let x = v2
Δx/x = 2Δv/v
So, 
Δv2/v2 = 2Δv/v

This should be enough to get you started. 
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elsa_ate_anna
Eric wrote:
No... not at all. This is about Uncertainties from the first chapter. It's a challenging Uncertainties question for you to think about (even though Uncertainties is considered to be relatively easy, it seems that quite a few students have trouble with it).

2 hints:
1) The first step of this should be:
Δv2 = Δu2  + Δ(2as)

2) Let x = v2
Δx/x = 2Δv/v
So, 
Δv2/v2 = 2Δv/v

This should be enough to get you started. 


Oh okies......haha I usually never bother about the chapter on measurements and errors 😋

Thanks anyways for the hint!
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