Suppose particles begin moving in one dimension away from the origin at t = 0 with the following velocities: 0, ± 1, ±2, ±3 m/s, and so on. (a) After 1 s, how will the velocities of the particles depend on distance from the origin? (b) Now consider an observer on one of the moving particles not at the origin. How will the relative velocities of the other particles depend on distance from the observer?
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