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General Guidelines for Driving Safely

A police jeep...

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A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72km/h. The jeep follows it at a speed of 90km/h, crossing the turning ten seconds later than the bike. Assuming that they travel at constant speed , how far from the turning will the jeep catch up with the bike?

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Q. A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/h. The jeep follows it at a speed of 90 km/h, crossing the turning ten seconds later than the bike. Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike?

Q. A police inspector in a jeep is chasing a pickpocket on a straight road. The jeep is going at a maximum speed

v

(assume 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 a constant acceleration

a

. What should be the speed of the jeep so that the pickpocket will be caught?

Q. A police inspector in a jeep is chasing a pickpocket on a straight road. The jeep is going at its 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 a constant acceleration a . Show that the pickpocket will be caught if

v \leq \sqrt{2 a d}

Q. A police inspector in a jeep is chasing a pickpocket on a straight road. The jeep is going at its maximum speed v (assume it to be 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 a constant acceleration a. Show that the pickpocket will be caught if

v \geq \sqrt{2 a d}

Q. A police inspector in a jeep is chasing a pickpocket an a straight road. The jeep going at its maximum speed v (assumed uniform). The pickpocket rides on the motor-cycle of a waiting friend when the jeep is at a distance d away, and the motorcycle starts with a constant acceleration a. The pick pocket will be caught if

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