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An inexperienced and overly ambitious Hollywood director is trying to find a way to prepare a...

An inexperienced and overly ambitious Hollywood director is trying to find a way to prepare a specific stunt for a movie. The goal is for a stuntwoman to fall from a high window on a building and bounce immediately back up to the window. The director thinks that placing a big vertical spring at the base of the building could accomplish this goal. She'll fall from the window, compress the spring, and then the spring will push her back up into the air.

After doing some calculations, the director estimates that the stuntwoman will be moving with a speed of 18m/s when she hits the spring. But they need to limit her acceleration during this process - to ensure that she doesn't suffer any injuries, they want her maximum acceleration to be 65m/s2. What spring constant should the director buy?

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