Two buckets of water hang on a rope (picture) thrown over a block. The mass of one bucket is M0, the mass of the other bucket is M0 + Dm. At the initial moment, the lighter bucket is given a downward velocity v0. At this point, it begins to rain, and as a result, the mass of each bucket increases at a constant rate. After what time t will the speed of the buckets go to zero? Neglect friction and the masses of the rope and block.

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