A particle is projected horizontally from a tower with velocity V₀. Wind is blowing in opposite direction and is providing a constant horizontal acceleration a₀. If particle strikes the ground vertically then height of building is

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G1 Physics · Accepted Answer

Horizontal velocity is vₓ = V₀ - a₀t. For the particle to hit the ground vertically, vₓ = 0 at impact, so T = V₀/a₀. Vertical drop is h = ½gT² = V₀²g/(2a₀²). Hence option B.