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. (a)`(sqrt(3))/(32)pi^(2)cm//s^(2)`
B. (b)`(-pi^(2))/(32)cm//s^(2)`
C. (c)`(pi^(2))/(32)cm//s^(2)`
D. (d)`-(sqrt(3))/(32)pi^(2)cm//s^(2)`

Answer

D

Explanation

Displacement equation from graph
`X = sin (pi/(4t))[:' omega = (2pi)/(T) - (2pi)/(8) = (pi)/(4)]`
Acceleration `a = - (pi^(2))/(16) sin (pi/4t)`