The distance travelled by a particle starting from rest and moving with an acceleration \( \frac{4}{3} \) ms\(^{-2} \), in the third second is:
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The displacement in the \( n \)th second formula:
\[
s_n = u + \frac{a}{2} (2n - 1)
\]
is useful for determining the exact distance covered in a given second without calculating total displacement.