Test Academy | If a particle starting from rest having constant acceleration covers distance S 1 in first (p – 1) seconds and S 2 in first p seconds, then determine time for which displacement is S 1 + S 2 2 p 2 + 1 − 2 p , 2 p 2 + 1 + 2 p , ( p − 1 ) 2 − p , 2p

Question

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 :

$\sqrt{2 p^{2} + 1 - 2 p}$
$\sqrt{2 p^{2} + 1 + 2 p}$
$\sqrt{(p - 1)^{2} - p}$
2p

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