Question

A particle moves in the x-y plane with a constant acceleration g in the negative y-direction. Its equation of motion is $y=ax-b{x}^2$, where a and b are constants. Which of the following is/are correct?

• A. The x-component of its velocity is constant.
• B. At the origin, the y-component of its velocity is $a\sqrt{\frac{g}{2b}}$.
• C. At the origin, its velocity makes an angle $ta{n}^{-1}\left(a\right)$ with the x-axis.
• D. The particle moves exactly like a projectile.

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A The x-component of its velocity is constant.
B At the origin, the y-component of its velocity is $a\sqrt{\frac{g}{2b}}$.
C At the origin, its velocity makes an angle $ta{n}^{-1}\left(a\right)$ with the x-axis.
D The particle moves exactly like a projectile.