A particle crossing the origin of co-ordinates at time \( \mathrm{t...

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A particle crossing the origin of co-ordinates at time \( \mathrm{t}=0 \), moves in the xy-plane with a constant acceleration a in the \( \mathrm{y} \)-direction. If its equation of motion is \( \mathrm{y}=\mathrm{bx}{ }^{2} \) (b is a constant), its velocity component in the \( \mathrm{x} \)-direction is
(a) \( \sqrt{\frac{2 b}{a}} \)
(b) \( \sqrt{\frac{a}{2 b}} \)
(c) \( \sqrt{\frac{a}{b}} \)
(d) \( \sqrt{\frac{b}{a}} \)
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