What Does 92.5 m/s Represent in the Equation (V2-V1)^2?

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AI Thread Summary
The discussion revolves around the equation (V2-V1)^2 = 552 + 452 - 2*55*45*cos135, which is suspected to contain a typographical error. Participants identify that the equation resembles the cosine law, indicating that the exponents may have been incorrectly formatted. The correct interpretation should involve solving for the variable x, which represents the difference between V2 and V1. The confusion stems from whether 92.5 m/s refers to V2, V1, or their difference. Overall, the conversation highlights the importance of careful notation in mathematical equations.
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Homework Statement



(V2-V1)^2 = 552+452-2*55*45*cos135

= 92.5m/s



My question is how to get from the first equation to the answer...
 
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552+452-2*55*45*cos135

Is not solved correctly.
It doesn't come up to 92.5(assuming the calculation you were working on didn't need change of units.
 
its something from the course material, so i guess its just wrong...
 
Yeah, it sounds like wrong.
If you can perhaps add some back ground context we may be able to work out what the text wanted to convey :-)
 
TheronSimon said:

Homework Statement



(V2-V1)^2 = 552+452-2*55*45*cos135

= 92.5m/s



My question is how to get from the first equation to the answer...

Looks suspiciously like an application of the cosine law where the exponents have lost their superscipt. Thus:

##x^2 = 55^2 + 45^2 - 2\cdot55\cdot45\cdot cos(135°) ##

solve for x.
 
haha! there we go thanks! i guess it it was just a typo in the course material.
 
OMG!
How did i miss that!
That was incredible observation gneill
 
emailanmol said:
OMG!
How did i miss that!
That was incredible observation gneill

I attribute it to to many hours doing math and not enough enjoying St. Patrick's day parties. I shall have to make amends :smile:
 
emailanmol said:
OMG!
How did i miss that!
That was incredible observation gneill

I agree. Remarkable :smile:
 
  • #10
TheronSimon said:

Homework Statement



(V2-V1)^2 = 552+452-2*55*45*cos135

= 92.5m/s



My question is how to get from the first equation to the answer...

What is supposed to be 92.5 m/s

V2, V1 or the difference V2 - V1 ?
 
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