A particle starts from the origin at \( t=0 \) and moves in the \( x y \) plane with constant ac...

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A particle starts from the origin at \( t=0 \) and moves in the \( x y \) plane with constant acceleration \( a \) in the \( y \)-direction. Its equation of motion is \( y=b x^{2} \). The \( x \)-component of its velocity is
(a) variable
(b) \( \sqrt{\left(\frac{2 a}{b}\right)} \)
(c) \( \frac{a}{2 b} \)
(d) \( \sqrt{\left(\frac{a}{2 b}\right)} \)
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