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Because of your knowledge of physics, you have been hired as a technical advisor on a...

Because of your knowledge of physics, you have been hired as a technical advisor on a new action movie. In one scene, the heroine pursues the villain up to the top of a bungee jump. The villain creates a diversion by dropping a bottle of deadly gas. The script calls for the heroine to quickly strap on a bungee cord of length L 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 heroine needs to jump downward to catch the bottle. You estimate that the heroine can react within time t to the villain's dropping the bottle by strapping on a bungee cord and jumping. (Hint: bungee cords don't compress)

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