A rabbit is chasing a fox (hey, why not?). The fox is trotting in a straight line at a constant speed v while the rabbit is running at a speed u > v in such a way that its velocity is always directed toward the fox. Initially, the fox and the rabbit are separated by a distance L, and their velocities are perpendicular to each other. What is the distance covered by the rabbit by the time it catches up with the fox?

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