The `x-t` graph of a particle undergoing simple harmonic motion is shown in figure. Acceleration of particle at `t = 4//3 s` is

Options

A. `(sqrt(3))/(32)pi^(2)cm//s^(2)`
B. `(-pi^(2))/(32) cm//s^(2)`
C. `(pi^(2))/(32)cm//s^(2)`
D. `-(sqrt(3))/(32)pi^(2)cm//s^(2)`

Answer

D

Explanation

`x =sin ((2pi)/(8)t), a = - omega^(2)x`