Thank you for reporting, we will resolve it shortly
Q.
With the usual notations, the following equation
$S_{t}=u+\frac{1}{2} a(2 t-1)$ is
Physical World, Units and Measurements
Solution:
We can derive this equation from equations of motion.
So it is numerically correct.
$ S_{t}=$ Distance travelled in $ t^{\text {th }} $ second
$=\frac{\text { Distance }}{\text { Time }}=\left[L T^{-1}\right] $
$u=$ Velocity $=\left[L T^{-1}\right] $
and $\frac{1}{2} a(2 t-1)=\left[L T^{-1}\right] $
As dimensions of each term in the given equation are same,
hence equation is dimensionally correct also.