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

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25m/s2

4π25m/s2

2π25m/s2

4π2m/s2

answer is B.

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Detailed Solution

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

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