derive the equation is motion S=ut+1/2at
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Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let intial velocity of the object be u and the final velocity v.
s=1/2t(u+v) -1
from the veocity relation
v=u+at -2
substitute 1 in 2
s=1/2t(u+u+at)
=1/2t(2u+at)
s=ut+1/2at^2
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