Check the correctness of the equation s=ut+ 1/2 at^2
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correct.
Writing the dimensions of either side of the given equation.
LHS=8=displacement=[M^0LT^0]
RHS=ut=velocity×time=[M^0LT^−1][T]=[M^0LT^0]
and 2/1at^2
=(acceleration)×(time)^2
=[M^0 LT^−2][T]^2=[M^0 LT^0 ]
As LHS=RHS, formula is dimensionally correct.
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