A police party is chasing a dacoit in a jeep which is moving at a constant speed \( v \). The da...
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A police party is chasing a dacoit in a jeep which is moving at a constant speed \( v \). The dacoit is on a motorcycle. When he is at a distance \( x \) from the jeep, he accelerates from rest at a constant rate. Which of the following relations is true if the police is able to catch the dacoit?
(1) \( v^{2} \leq \alpha x \)
(2) \( v^{2} \leq 2 \alpha x \)
(3) \( v^{2} \geq 2 \alpha x \)
(4) \( v^{2} \geq \alpha x \)
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