A body starts moving from rest with constant | vedclass

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Question

$S_1$ in first $(p-1) \mathrm{sec}$
$S_2$ in first $p$ sec
$ \mathrm{S}_1=\frac{1}{2} \mathrm{a}(\mathrm{p}-1)^2 $
$ \mathrm{~S}_2=\frac{1}{2} \mat

Vedclass · Accepted Answer

$\sqrt{\left(2 \mathrm{p}^2-2 \mathrm{p}+1\right) \mathrm{s}}$

Vedclass · Answer

$S_1$ in first $(p-1) \mathrm{sec}$
$S_2$ in first $p$ sec
$ \mathrm{S}_1=\frac{1}{2} \mathrm{a}(\mathrm{p}-1)^2 $
$ \mathrm{~S}_2=\frac{1}{2} \mathrm{a}(\mathrm{p})^2 $
$ \mathrm{~S}_1+\mathrm{S}_2=\frac{1}{2} \mathrm{at}^2 $
$ (\mathrm{p}-1)^2+\mathrm{p}^2=\mathrm{t}^2 $
$ \mathrm{t}=\sqrt{2 \mathrm{p}^2+1-2 \mathrm{p}}$

A body starts moving from rest with constant acceleration covers displacement $S_1$ in first $(p-1)$ seconds and $S_2$ in first $p$ seconds. The displacement $S_1+S_2$ will be made in time :

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