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

Explanation

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.