John is standing on a steel beam 255.0 ft above the ground. Linda is standing 30.0 ft directly above John.
(a) For John to throw a hammer up to Linda, at what initial speed must John throw the hammer for it to just reach Linda?
(b) Suppose the hammer reaches the correct height, but Linda just misses catching it. How long does someone on the ground have to move out of the way from the time the hammer reaches its maximum height?
(c) At what speed does the hammer hit the ground?