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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 correctly.
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AAKASH SERIES-UNITS AND MEASUREMENT-PRACTICE EXERCISE
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