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Two particles are moving at a speed v such that they are always at a constant distance d apart and their velocities are always equal and opposite.at what time they return to their initial positions?

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    this is tricky. In my opinion, two object moving at the same and opposite direction means that both object traveled from a different point of origin. So if we have these objects stuck together because of the constant d, then i guess neither of the object will make it to the initial position.

    in short, both object cannot get to the initial position.

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