A ball is suspended on a thread from the ceiling of a car. The brakes are applied and the speed of car changes from $5\, m/sec$ to $\frac{5}{3}\, m/sec$ during the time interval of $3\,seconds$ . The angle that the thread will deviate from vertical in new equilibrium position :-
- A$\theta = {\tan ^{ - 1}}\left( {\frac{1}{9}} \right)$
- B$\theta = {\tan ^{ - 1}}\left( {\frac{8}{9}} \right)$
- C$\theta = {\sin ^{ - 1}}\left( {\frac{1}{9}} \right)$
- D$\theta = {\cos ^{ - 1}}\left( {\frac{1}{9}} \right)$
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