A motorcyclist, moving at a constant speed of 20 meters per second, passes in front of a police station, where there is a sign indicating that the speed limit of the road is 12 meters per second. At that same moment, a police officer, who was on duty, starts from rest in pursuit of the traffic violator, developing a constant acceleration of 3.5 meters per second squared. Knowing that at that moment the traffic violator was already 15 meters ahead of the officer, determine approximately: a) The approximate time interval that elapsed until the moment the officer catches up with the traffic violator. b) The speed of the officer at the moment of the encounter. c) The distance traveled by the officer until the moment of the encounter.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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A motorcyclist, moving at a constant speed of 20 meters per second, passes in front of a police station, where there is a sign indicating that the speed limit of the road is 12 meters per second. At that same moment, a police officer, who was on duty, starts from rest in pursuit of the traffic violator, developing a constant acceleration of 3.5 meters per second squared. Knowing that at that moment the traffic violator was already 15 meters ahead of the officer, determine approximately:

a) The approximate time interval that elapsed until the moment the officer catches up with the traffic violator.

b) The speed of the officer at the moment of the encounter.

c) The distance traveled by the officer until the moment of the encounter.

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