Write the equation for the distance covered by an object falling freely during the $n^{th}$ second.

(N/A) For an object falling freely under gravity,the initial velocity $u = 0$ and acceleration $a = g$.
The distance covered by an object in the $n^{th}$ second is given by the formula:
$S_n = u + \frac{a}{2}(2n - 1)$
Substituting $u = 0$ and $a = g$ into the equation:
$S_n = 0 + \frac{g}{2}(2n - 1)$
Therefore,the distance covered in the $n^{th}$ second is $S_n = \frac{g}{2}(2n - 1)$.