Tarzan swings on a vine to rescue a helpless explorer (as usual) from some wild animal. He starts his movement from a branch 50 feet above the ground, grabs the explorer at the bottom of its swing, and continues the movement, upward this time, until both land safely on another branch. Suppose that Tarzan's mass is 90 kg and the explorer's is 70 kg, and that Tarzan not only lets go of the branch, but jumps up to start swinging with a speed of 5.0 m/s. How high of a branch can he and the explorer reach?

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