A 5.0 m-long rope hangs vertically from a tree right at the edge of a ravine. A woman wants to utilize the rope to swing to the other side of the ravine. She runs as fast as she can, grabs the rope, and swings out over the ravine. When she is directly over the far edge of the ravine, she is 1m higher than when she started.
How fast does she have to be running when she grabs the rope to build it across the ravine?