The day after the incident described in Problem 44, the instructor finds herself in the same situation.

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The day after the incident described in Problem 44, the instructor finds herself in the same situation. This time, she tries a harder physics exercise. She keeps running at a constant \(6.0 \mathrm{~m} / \mathrm{s}\) after drawing even with the bus door and pulls ahead for a while, but the accelerating bus soon overtakes her. By what maximum distance does she get ahead of the door?

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