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A motor cycle starts from rest and accelerates along a straight path at $$2$$ m/s$$^2$$. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at $$94\%$$ of its value when the motor cycle was at rest? (speed of sound $$= 330$$ ms$$^{-1}$$)
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