The equation of motion of a projectile is \(y=a x-b x^2\), where \(a, b\) are constants. Match the column - I with column - II
\(\begin{array}{ll}
\text{Column - I} & \text{Column - II} \\
\text{i) The initial velocity of projection} & \text{a)} \frac{a}{b} \\
\text{ii) The horizontal range of projectile} & \text{b)} a \sqrt{\frac{2}{\mathrm{bg}}} \\
\text{iii) The maximum height attained by projectile} & \text{c)} \frac{\mathrm{a}^2}{4 \mathrm{~b}} \\
\text{iv) The time of flight of projectile} & \text{d)} \sqrt{\frac{g\left(1+a^2\right)}{2 b}}
\end{array}\)

1. A \(\begin{array}{cccc}
   \text { i } & \text { ii } & \text { iii } & \text { iv } \\
   \text { a } & \text { b } & \text { c } & \text { d }
   \end{array}\)
2. B \(\begin{array}{cccc}
   \text { i } & \text { ii } & \text { iii } & \text { iv } \\
   \text { d } & \text { a } & \text { b } & \text { c }
   \end{array}\)
3. C \(\begin{array}{cccc}
   \text { i } & \text { ii } & \text { iii } & \text { iv } \\
   \text { d } & \text { a } & \text { c } & \text { b }
   \end{array}\)
4. D \(\begin{array}{cccc}\text { i } & \text { ii } & \text { iii } & \text { iv } \\ \text { a } & \text { d } & \text { c } & \text { b }\end{array}\)