A particle is released from a certain height \( H=400 \mathrm{~m} \). Due to the wind the partic...

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A particle is released from a certain height \( H=400 \mathrm{~m} \). Due to the wind the particle gathers the horizontal velocity component \( v_{x}=a_{y} \) where \( a=\sqrt{5} \mathrm{~s}^{-1} \) and \( y \) is the vertical displacement of the particle from point of release, then the horizontal drift of the particle when it strikes the ground is
(a) \( 2.67 \mathrm{~km} \)
(b) \( 8.67 \mathrm{~km} \)
(c) \( 1.67 \mathrm{~km} \)
(d) \( 5.1 \mathrm{~km} \)
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