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?

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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 constant. Then the correct statements $$are(i)$$ The $$x-component$$ of its velocity is constant.(ii) At the origin, the $$y-component$$ of its velocity is $$ag/2b(iii)$$ At the origin, its velocity makes an angle $$tan$$$$-1$$ a with the $$x-axis$$.(iv) The particle moves exactly like a projectile.

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?

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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?

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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?