The displacement time graph of an oscillating particle. Find the maximum  acceleration of the particle acceleration of the particle.

For simple harmonic motion, the acceleration of a particle is given by   a=−Aw2sinwt . Hence the maximum acceleration of the particle is  amax=Aω2.  From the graph, time period of oscillation is 0.2 s. Using the relation   ω=2πTHence,  vmax=Aω2=52π52=4π25  ms−2