A point moving with const. acc. from A to B, In a straight line AB has velocities u and v at A and B respectively.The velocity of point at C,the mid point of AB is?
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OpenStudy (dls):
@mukushla :P
OpenStudy (anonymous):
got it
OpenStudy (anonymous):
first find the distance AB using
v^2 = u^2 + 2as
s = (v^2 - u^2) / 2a = AB
now we want the final velocity when displacement is s/2
substitute in the eq V^2 = u^2 + 2as
and u'll get V = sqrt [ (u^2 + v^2)/2 ]
OpenStudy (anonymous):
@Vaidehi09
nice
OpenStudy (anonymous):
^^
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OpenStudy (anonymous):
ok m gonna take velocity at C as L.
so, L^2 = u^2 + 2a ( s/2)
L^2 = u^2 + 2a [ (v^2 - u^2) / 4a ]
= u^2 + (v^2 - u^2)/2
= [ 2u^2 + v^2 - u^2 ] / 2
L^2 = [ u^2 + v^2 ] /2
so L = sqrt ( [u^2 + v^2]/2 )
OpenStudy (anonymous):
got it?
OpenStudy (dls):
got it thanks ! :)
OpenStudy (anonymous):
gr8!
OpenStudy (dls):
in this ques o.o if time from A to C is twice that from C to B then which of the following relation is correct?
v=4u
v=7u
v=8u
v=11u
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OpenStudy (dls):
i tried v=u+at,ended up nowhere
also the answer is v=7u :)
OpenStudy (anonymous):
i think i got it
OpenStudy (anonymous):
just give me a hint. not the whole sol.
OpenStudy (anonymous):
\[t_{AC}=\frac{2}{3} t_{AB}\]
OpenStudy (anonymous):
and
\[v_{c}=\sqrt{\frac{u^2+v^2}{2}} \]
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