A particle moves along the circle \( x^{2 } + y^{2} = r^{2} \) in the \( xy \) plane. It is known that at \( t = 0 \text{ s}\), the particle was at \( (r, 0) \) and at \( t = 5 \text{ s}\), the particle was at \( \left( \dfrac{-r\sqrt{ 3} }{2} , \dfrac{ r}{ 2} \right)\). If the motion of the particle is uniform circular motion, what is the minimum possible angular speed of the particle (in rad/s) ?

This problem is part of the set - Circular Motion Practice

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