Duration: 8:31

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A police inspector in a jeep is chasing a pickpocket on a straight road. The jeep is going at a maximum speed \( v \) (assumed uniform). The pickpocket rides on the motorcycle of a waiting friend when the jeep is at a distance \( d \) away, and the motorcycle starts with constant acceleration \( a \). Show that the pickpocket will be caught if \( v \geq \sqrt{2 a d} \).
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