A particle crossing the origin of co-ordinates at time \( t=0 \), moves in the \( x y \)-plane w...

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A particle crossing the origin of co-ordinates at time \( t=0 \), moves in the \( x y \)-plane with a constant acceleration \( a \) in the \( y \)-direction. If its equation of motion is \( y=b x^{2} \) ( \( b \) is a constant), its velocity component in the \( x \)-direction is
[Kerala PET 2011]
(a) \( \sqrt{\frac{2 b}{a}} \)
(b) \( \sqrt{\frac{a}{2 b}} \)
(c) \( \sqrt{\frac{a}{b}} \)
(d) \( \sqrt{\frac{b}{a}} \)
(e) \( \sqrt{b a} \)
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