A particle moves with simple harmonic motion in a straight line. In first \( \tau s \) after sta...

A particle moves with simple harmonic motion in a straight line. In first \( \tau s \) after starting from rest it travels a distance \( a \), and
\( \mathrm{P} \) in next \( \tau s \) it travels \( 2 a \), in same direction, then :

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(A) amplitude of motion is \( 3 a \)
(B) time period of oscillations is \( 8 \tau \)
(C) amplitude of motion is \( 4 a \)
(D) time period of oscillations is \( 6 \tau \)