A body is moving from rest under constant acceleration and let S_1 be the displacement in the first \{ \rho - 1 \} sec and S_2 be the displacement in the first \(\mu\text{ sec.}\) The displacement in \(\left(p^{2} - p + 1\right)^{n}\) sec. will be
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From \(s - ut + \frac{1}{2} a t^{2}\)
\(S_1 = -\frac{1}{2} a \rho - 1)^2\) and \(\Sigma_{z} = -\frac{1}{2} a p :\) [As_u O ]
From \(s_n = -u + \frac{a}{2} (2n - 1)\)
\(s_{1, \ldots, i, \ldots, +1}^m - \frac{q}{2} \left[ x p^i - p + 1 \right] - 1\) \(-\frac{1}{2}[2p^{2} - 2p + 1]\)
It is clear that S_{l,m}^n = S_1 + S_2
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