Physics - Unit & Dimension Question with Solution | TestHub

$s_t=\left(ut+\frac{1}{2}a{t}^2\right)-\left(u(t-1)+\frac{1}{2}a(t-1{)}^2\right)$
$=u+at-\frac{1}{2}a$
$=u+\frac{a}{2}(2t-1)$.
The equation is dimensionally correct;
here $t$ stands for the ordinal number of the second, so each term carries the dimensions of distance covered in one second.