I really deriving the equation for this?

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SUMMARY

The discussion focuses on deriving a specific formula as requested by the professor, emphasizing the need to rearrange equations to isolate A terms and B terms. The process involves manipulating the kinetic energy balance equation and the momentum balance equation. Participants suggest dividing the resulting equations to achieve the desired formula. This methodical approach ensures clarity in the derivation process.

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Homework Statement


My professor wants to see how to derive the formula. Basically get from the first two lines in the bracket to the two lines that are boxed.

Homework Equations


I have attached the picture of the relevant equations
 

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    PHYSICS EXTRA CREDIT.jpg
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Start out by getting all the A terms in each of the equations on one side of the equation, and all the B terms on the other side of the equation. Then, divide the resulting kinetic energy balance equation by the resulting momentum balance equation.
 

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