A particle moves in the xy-plane with a constant acceleration g in the negative y-direction. Its equation of motion is y = ax - bx², where a and b are constants. Which of the following are correct?

• A

  The x-component of its velocity is not constant.

• B

  At the origin, the y-component of its velocity is $2\mathrm{a}\sqrt{\mathrm{g}/\left(2\mathrm{b}\right)}.$

• C

  At the origin, its velocity makes an angle ${\tan }^{-1}\mathrm{a}$ with the x-axis.

• D

  The particle does not moves like a projectile.