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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Its a derivation from momentum changes in a system of variable mass..my Question is that why a sign of velocity of big mass relative to small mass is changed in 2nd step..

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can hardly read it but they also switched U and V around to get relative velocity so i presume that it assists presentation
Yeah, it's very hard to read. Can you write it out using the drawing tool (the "draw" button below)?
No i am unable to use drawing tool because i am using tablet ..
clearly you are starting with \(\large \vec F = \frac{d}{dt}\vec p = \frac{d}{dt} (m \vec v)\) and running with that gives \(\large m \frac{d \vec v} {dt} +\frac{dm}{dt} (\vec v - \vec u)\) and then the switch to \(\large m \frac{d \vec v} {dt} -\frac{dm}{dt} (\vec u - \vec v)\) where \( (\vec u - \vec v)\ = \vec v_{rel} \) all looks very OM except we do not actually know what you are modelling! eg what is \(\vec u\) ?
"very OM" = very OK
U is velocity of big mass where v is the velocity of ejected mass
I think u r right tht signs doesnt mean.. this iw due to relativity..
since the subsequent identity, has been used: \[\Large {\mathbf{v}} - {\mathbf{u}} = - \left( {{\mathbf{u}} - {\mathbf{v}}} \right)\]
Okay thanks to all for helping me.. :)

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