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A particle moves in the plane x y with c...

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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The correct Answer is:
`[sqrt((k_(1)^(2)+1)(a)/(2k_(2)))]`
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