In a triangle \(ABC\), \(AB=5\) cm and \(AC=4\) cm. If angle \(BAC\) is decreasing at a constant rate of \(0.2\) radians per second, find the rate of change of the length \(BC\) at the instant where \(\angle BAC=\frac{\pi }{3}\) radians, giving your answer in centimetres per second to \(3\) significant figures. [5]
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