The trajectory of a projectile near the surface of the earth is given as$ y = 2x -9x^2$. If it were launched at an angle $\theta_0$ with speed $v_0$ then $(g = 10\, ms^{-2}$)
The trajectory of a projectile near the surface of the earth is given as$ y = 2x -9x^2$. If it were launched at an angle $\theta_0$ with speed $v_0$ then $(g = 10\, ms^{-2}$)
- [JEE MAIN 2019]
- A
${\theta _0} = {\cos ^{ - 1}}\,\left( {\frac{1}{{\sqrt 5 }}} \right)$ and ${v_0} = \frac{5}{3}\,m{s^{ - 1}}$
- B
${\theta _0} = {\cos ^{ - 1}}\,\left( {\frac{2}{{\sqrt 5 }}} \right)$ and ${v_0} = \frac{3}{5}\,m{s^{ - 1}}$
- C
${\theta _0} = {\sin ^{ - 1}}\,\left( {\frac{2}{{\sqrt 5 }}} \right)$ and ${v_0} = \frac{3}{5}\,m{s^{ - 1}}$
- D
${\theta _0} = {\sin ^{ - 1}}\,\left( {\frac{1}{{\sqrt 5 }}} \right)$ and ${v_0} = \frac{5}{3}\,m{s^{ - 1}}$
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