A particle moves in the plane \( x y \) with constant acceleration a directed along the negative...

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A particle moves in the plane \( x y \) with constant acceleration a directed along the negative \( y \)-axis. The equation of motion of the particle has the form \( y=k_{1} x-k_{2} x^{2} \), where \( k_{1} \) and \( k_{2} \) are positive constants. Find the velocity of the particle at the origin of coordinates.
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