The y-component of a dust particle's velocity is measured with an uncertainty of 1.0×10?6 m/s. The particle has a mass of 1.00e-9 kg.
(a) What is the limit of the accuracy to which we can locate the particle along the y-axis? That is, what is the minimum uncertainty in the y-position?
(b) Does this place any limitation on the accuracy with which we can locate its position along the x or z axes?