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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.

Text Solution

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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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