Question: Three identical train cars, coupled together, are rolling east at speed v 0 . A fourth car traveling east at 2v 0 catches up with

Three identical train cars, coupled together, are rolling east at speed v₀. A fourth car traveling east at 2v₀ catches up with the three and couples to make a four-car train. A moment later, the train cars hit a fifth car that was at rest on the tracks, and it couples to make a five-car train. What is the speed of the five-car train?

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