A ball is suspended by a thread from the ceiling of a tram car. The brakes are applied and the speed of the car changes uniformly from 36 kmh^–1 to zero in 5 s. The angle by which the ball deviates from the vertical is (g = 10 ms^–2)

• A

  ${\tan }^{-1}\left(\frac{1}{3}\right)$

• B

  ${\sin }^{-1}\left(\frac{1}{5}\right)$

• C

  ${\tan }^{-1}\left(\frac{1}{5}\right)$

• D

  ${\cot }^{-1}\left(\frac{1}{3}\right)$