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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 a `sqrt(g/(2b))`.

C

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

D

The particle moves exactly like a projectile.

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The correct Answer is:
A, B, C, D
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