Give the derivation of Third Equation of Motion.
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V2=U2+2as
were,
v = final velocity,
s = displacement,
u = initial velocity,
a = acceleration ( must be constant )
This equation doesnot relate to final velocity.
Analytical Proof
we know that,
a = dv/dt
v = ds/dt
Taking their ratio, we get,
a/v = dv/ds
Cross multiplying 'ds' and integrating both sides,
ds = dv = as = v2 - u2 / 2
v2 = u2 + 2as
hence proved.
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