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Check the correctness of the formula S =...

Check the correctness of the formula `S = ut + 1/3 "at"^2` where S is the distance , u is velocity , a is acceleration and t is time.

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Dimensionally LHS= [L]
RHS =` [LT^(-1)] [T]+[LT^(-2)][T]^(2)`
`[L] +[L]=[L ]`
Since, the dimension of each term on both sides are same, the given equation is dimensionally correct.
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