Circular motion
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A particle is moving around a circle of radius \(3 \text{ m}\) with a constant speed of \(6 \text{ m} / \text{s}\). Given that \(\theta=0\) at time \(t=0\), find:
i) the angular velocity of the particle.
ii) the position of the particle at time \(t=\frac{\pi}{4}\) seconds.
iii) the velocity of the particle at time \(t=\frac{\pi}{4}\) seconds.
iv) the acceleration of the particle at time \(t=\frac{\pi}{4}\) seconds.
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