Question
A body starts from rest and travels $$'s'$$ $$m$$ in $${2^{nd}}$$ second, then acceleration is
A.
$$\left( {2s} \right)m/{s^2}$$
B.
$$\left( {3s} \right)m/{s^2}$$
C.
$$\left( {\frac{2}{3}s} \right)m/{s^2}$$
D.
$$\left( {\frac{3}{2}s} \right)m/{s^2}$$
Answer :
$$\left( {\frac{2}{3}s} \right)m/{s^2}$$
Solution :
$$\eqalign{
& {S_n} = u + \frac{a}{2}\left( {2n - 1} \right) \cr
& {\text{or,}}\,\,s = \frac{a}{2}\left( {2 \times 2 - 1} \right) \Rightarrow a = \frac{2}{3}s\,m/{s^2} \cr} $$