Check the correctness of following equation by the method of dimensions :
`S=ut+(1)/(2)at^(2)` .
where S is the distance covered bu a body in time t, having initial velocity u and acceleration a.

Explanation

Writing the dimensions of either side of the given equation
LHS=s=displacement=`[M^(0)LT^(0)]`
`RHS=ut`=`velocityxxtime-[M^(0)LT^(-1)][T]=[M^(0)LT^(0)]`
and `(1)/(2)at^(2)=("acceleration")xx(time)`
As LHS=RHS,formula is dimensionally correct.