The equation of motion of a particle is given by x=a sin (50 t+π / 3) cm. The particle will come to rest at time t_1 and it will have zero…

The equation of motion of a particle is given by $\displaystyle x=a \sin (50 t+\pi / 3) \mathrm{cm}$. The particle will come to rest at time $\displaystyle t_1$ and it will have zero acceleration at time $\displaystyle t_2$. The $\displaystyle t_1$ and $\displaystyle t_2$ respectively are $\displaystyle \_\_\_\_$.