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 $36 Km {\mathrm{h}}^{-1}$ to zero in $5 \mathrm{s}$. The angle by which the ball deviates from the vertical is $\left(\mathrm{g}=10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}\right)$

• A

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

  ${\sin }^{-1}\left(\frac{1}{5}\right)$
• Correct answer
  C

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

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

Hence, the correct answer is option: 'C'.