A body starts moving from rest with constant acceleration covers displacement S₁ in first (p - 1) seconds and S₂ in first p seconds. The displacement S₁ + S₂ will be made in time :
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A body starts moving from rest with constant acceleration covers displacement S₁ in first (p - 1) seconds and S₂ in first p seconds. The displacement S₁ + S₂ will be made in time :

G1 Physics · Accepted Answer

The body starts from rest. S₁ = ½a(p - 1)² S₂ = ½ap² Let the time required to cover S₁ + S₂ be t. S₁ + S₂ = ½at² Therefore, (p - 1)² + p² = t² t² = 2p² - 2p + 1 Hence, t = √(2p² - 2p + 1) s