Walking by a pond, you find a rope attached to a tree limb 5.1 m off the ground. You decide to use the rope to swing out over the pond. The rope is a bit frayed but supports your weight. You estimate that the rope might break if the tension is 82 N greater than your weight. You grab the rope at a point 4.6 m from the limb and move back to swing out over the pond. Assume your weight to be 650 N (about 145 lb).

If you begin at this maximum angle, and the surface of the pond is 1.2 m below the level of the ground, with what speed will you enter the water if you let go of the rope when the rope is vertical?

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