A particle starts from the origin of cooxdinates at time \( t=0 \) and moves in the xy-plane wit...

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