The equation of motion of a projectile is $y=a x-b x^2$, where $a, b$ are constants. Match the column - I…

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. $\begin{array}{cccc} \text { i } & \text { ii } & \text { iii } & \text { iv } \\ \text { a } & \text { b } & \text { c } & \text { d } \end{array}$
  2. $\begin{array}{cccc} \text { i } & \text { ii } & \text { iii } & \text { iv } \\ \text { d } & \text { a } & \text { b } & \text { c } \end{array}$
  3. $\begin{array}{cccc} \text { i } & \text { ii } & \text { iii } & \text { iv } \\ \text { d } & \text { a } & \text { c } & \text { b } \end{array}$
  4. $\begin{array}{cccc}\text { i } & \text { ii } & \text { iii } & \text { iv } \\ \text { a } & \text { d } & \text { c } & \text { b }\end{array}$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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