Derive eqn of motion by 3 methods and get 100 points
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We know that, displacement is the rate of change of position of an object. Mathematically, this can be represented as:
Displacement=(InitialVelocity+FinalVelocity2)×t
Substituting the standard notations, the above equation becomes
s=(u+v2)×t
From the first equation of motion, we know that
v=u+at
Rearranging the above formula, we get
t=v−ua
Substituting the value of t in the displacement formula, we get
s=(v+u2)(v−ua)
s=(v2−u22a)
2as=v2−u2
Rearranging, we get
v2=u2+2as
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