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Q: Two particles of masses mi and m2 are attached to the ends of a light spring. The natural length of the spring is 1, and its tension is k times its extension. Initially, the particles are at rest, with m1 at a height 1 above m2. At t = 0, mi is projected vertically upward with velocity v. Find the positions of the particles at any subsequent time (assuming that v is not so large that the spring is expanded or compressed beyond its elastic limit).