The two ends of a train moving with uniform acceleration pass a certain point with velocities "u" & "v". The velocity with which the middle portion of the train passes the same point is -???????????????????????????????????????????????????????????????????????????????????????????????? Plz help:)
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OpenStudy (unklerhaukus):
\[\frac {u+v}{2}\]?
OpenStudy (maheshmeghwal9):
Its answer is \[\LARGE \color{red}{\sqrt{\frac{u^2+v^2}{2}.}}\]
OpenStudy (unklerhaukus):
hm.
OpenStudy (maheshmeghwal9):
hey @mathslover plz help kar yar:)
mathslover (mathslover):
wait
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@maheshmeghwal9
\[v^2=u^2+2as\]
\[as=\frac{v^2-u^2}{2}\]
let x be the velocity of the middle part of train..
\[x^2=u^2+as\]
\[x=\sqrt{u^2+as}\]
\[x=\sqrt{u^2+\frac{v^2-u^2}{2}}\]
\[x=\sqrt{\frac{v^2+u^2}{2}}\]
mathslover (mathslover):
got it ?
mathslover (mathslover):
have to go thanks ..
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OpenStudy (maheshmeghwal9):
no I didn't gt it:/
OpenStudy (maheshmeghwal9):
how did u write
x^2=u^2+as
OpenStudy (maheshmeghwal9):
I men why?
OpenStudy (maheshmeghwal9):
mean*
mathslover (mathslover):
x^2 = u^2 + 2*a*s/2 ... right ?
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mathslover (mathslover):
s/2 = half of length of train ...
mathslover (mathslover):
understood now ?
OpenStudy (maheshmeghwal9):
Why did u apply this formula?
v^2=u^2+2as.
OpenStudy (maheshmeghwal9):
& I think "s" is distance.
How can it be length of the train?
OpenStudy (maheshmeghwal9):
@mathslover
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mathslover (mathslover):
does this make clear to you ? @maheshmeghwal9
OpenStudy (maheshmeghwal9):
very much clear dude.
thanx a lot:)
mathslover (mathslover):
my pleasure @maheshmeghwal9
OpenStudy (maheshmeghwal9):
^_^ @mathslover
mathslover (mathslover):
u can close this question now..
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