Question:

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t=4/3 s is

−π²/32 cm/s²

√3/32π² cm/s²

π²/32 cm/s²

−√3/32π² cm/s²

The given motion is represented by
x=1sin(π/4)t
d²x/dt²=−π²/16sin(π/4)t
At t=4/3 sec,
d²x/dt²=−√3/32π² cm/s²