Physics Simple Harmonic Motion (Oscillations) JEE Main / Advanced Problems ( Previous Years) MCQ (Single Correct)

A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a, in same direction, then:

A
amplitude of motion is 3a
B
time period of oscillations is 8 τ
C
amplitude of motion is 4a
D
time period of oscillations is 6 τ

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The correct answer is:
D

As it starts from rest, we have

Now,

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