A particle is moving in simple harmonic motion about the origin, with displacement `x` metres. The displacement is given by `x = 2 sin 3t`, where `t` is time in seconds. The motion starts when `t = 0`.
- What is the total distance travelled by the particle when it first returns to the origin? (1 mark)
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- What is the acceleration of the particle when it is first at rest? (2 marks)
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