s=ut+1/2at* in this equation how the half at*come
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Answer:
S=ut+½at²
Derivation:
Average velocity=u+v/2
Distance= Average velocity×time
S=(u+v/2)×t
We know that v=u+at
So here v is replaced by u+at
S=(u+u+at/2)×t
S=(2u+at/2)×t
S=2ut/2+at²/2
S=ut+½at²
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