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A particle moves in the xy plane with a ...

A particle moves in the `xy` plane with a constant acceleration 'g' in the negative-direction. Its equation of motion is `y = ax-bx^(2)`, where `a` and `b` are constants. Which of the following are correct?

A

The x-component of its velocity is constant.

B

At the origin, the y-component of its velocity is `asqrt((g)/(2b))`.

C

At the origin, its velocity makes an angle `tan^(-1)a` with the `x`-axis.

D

The particles moves exactly like a projectile

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A, B, C, D
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