A motorcyclist moving with a velocity of 144 kmh^-1 on a flat road takes a turn on the road at a point,
where the radius of curvature of the road is 40 m. The acceleration due to gravity is 10 ms^-2. In order
to avoid sliding, he must bend with respect to the vertical plane by an angle

• A

  $\theta ={\tan }^{-1}\left(4\right)$

• B

  $\theta = {45}^0$

• C

  $\theta ={\tan }^{-1}\left(2\right)$

• D

  $\theta ={\tan }^{-1}\left(6\right)$