If a particle starting from rest having constant acceleration covers distance S₁ in first (p – 1) seconds and S₂ in first p seconds, then determine time for which displacement is S₁ + S₂

Options :

1. $\sqrt{\mathrm{<a\; href="https://ta-spaces.blr1.cdn.digitaloceanspaces.com/ta-prod/uploads/ol1094-1720066519968.png"\; data-fancybox="gallery"></a><a\; href="https://ta-spaces.blr1.cdn.digitaloceanspaces.com/ta-prod/uploads/ol1094-1720066519968.png"\; data-fancybox="gallery"><img\; src="https://ta-spaces.blr1.cdn.digitaloceanspaces.com/ta-prod/uploads/ol1094-1720066519968.png"></a>2}{p}^2+1-<!--\; -\; -->2p}$

2. $\sqrt{2p^2+1+2p}$

3. $\sqrt{(p-<!--\; -\; -->1{)}^2-<!--\; -\; -->p}$

4. 2p