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A particle moves with simple harmonic motion in a straight line. In first \( \tau \mathrm{s} \), after starting from rest it travels a distance \( \mathrm{a} \), and in next \( \tau \mathrm{s} \) it travels \( 2 \mathrm{a} \), in same direction, then:
(a) amplitude of motion is \( 3 \mathrm{a} \)
(b) time period of oscillations is \( 8 \tau \)
- (c) amplitude of motion is \( 4 \mathrm{a} \)
-(d) time period of oscillations is \( 6 \tau \)
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