A rope, attached to a weight, passes vertically up through a pulley in the ceiling and then straight back down to a worker who holds the rope in his hand. The worker walks away at a constant rate 3 ft/s, keeping his hand at the same distance 30 feet below the ceiling. How fast is the weight rising when the worker has walked:
  1. 10 feet? ft/s
  2. 30 feet? ft/s

You can earn partial credit on this problem.