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 \((g = 10\, ms^{-2}\))

1. A \({\theta _0} = {\cos ^{ - 1}}\,\left( {\frac{1}{{\sqrt 5 }}} \right)\) and \({v_0} = \frac{5}{3}\,m{s^{ - 1}}\)
2. B \({\theta _0} = {\cos ^{ - 1}}\,\left( {\frac{2}{{\sqrt 5 }}} \right)\) and \({v_0} = \frac{3}{5}\,m{s^{ - 1}}\)
3. C \({\theta _0} = {\sin ^{ - 1}}\,\left( {\frac{2}{{\sqrt 5 }}} \right)\) and \({v_0} = \frac{3}{5}\,m{s^{ - 1}}\)
4. D \({\theta _0} = {\sin ^{ - 1}}\,\left( {\frac{1}{{\sqrt 5 }}} \right)\) and \({v_0} = \frac{5}{3}\,m{s^{ - 1}}\)