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Because of your knowledge of physics, you have been hired as a technical adviser on a new action movie. In one scene, the hero pursues

Because of your knowledge of physics, you have been hired as a technical adviser on a new action movie. In one scene, the hero pursues the villain up to the top of a bungee jump. The villain creates a diversion by dropping a bottle filled with deadly gas. The script calls for the hero to quickly strap on a 30 m bungee cord and jump straight down to grab the bottle out of the air just as the bungee cord begins to stretch. Your job is to determine the feasibility of the stunt by finding the initial speed with which the hero needs to jump downward to catch the bottle. You estimate that the hero can react to the villain's dropping the bottle by strapping on the bungee cord and jumping in 2.0 seconds.

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