3. Radar guns measure the rate of distance change between the gun and the object it is measuring. For instance, a reading of "55 mph" means the object is moving away from the gun at a rate of 55 miles per hour, whereas a measurement of "-25 mph" would mean that the object is approaching the gun at a rate of 25 miles per hour. If the radar gun is moving (say, attached to a police car) then radar readouts are only immediately understandable if the gun and the object are moving along the same line. If a police officer is traveling 60 mph and gets a readout of 15 mph, he knows that the car ahead of him is moving away at a rate of 15 miles an hour, meaning the car is traveling 75 mph. (This straight-line principle is one reason officers park on the side of the highway and try to shoot straight back down the road. It gives the most accurate reading.) Suppose an officer is driving due north at 30 mph and sees a car moving due east, as shown in the picture below. Using his radar gun, he measures a reading of 20 mph. By using landmarks, he believes both he and the other car are about 1/2 mile from the intersection of their two roads. If the speed limit on the other road is 50 mph, is the other driver speeding?
3. Radar guns measure the rate of distance change between the gun and the object it is measuring. For instance, a reading of "55 mph" means the object is moving away from the gun at a rate of 55 miles per hour, whereas a measurement of "-25 mph" would mean that the object is approaching the gun at a rate of 25 miles per hour. If the radar gun is moving (say, attached to a police car) then radar readouts are only immediately understandable if the gun and the object are moving along the same line. If a police officer is traveling 60 mph and gets a readout of 15 mph, he knows that the car ahead of him is moving away at a rate of 15 miles an hour, meaning the car is traveling 75 mph. (This straight-line principle is one reason officers park on the side of the highway and try to shoot straight back down the road. It gives the most accurate reading.) Suppose an officer is driving due north at 30 mph and sees a car moving due east, as shown in the picture below. Using his radar gun, he measures a reading of 20 mph. By using landmarks, he believes both he and the other car are about 1/2 mile from the intersection of their two roads. If the speed limit on the other road is 50 mph, is the other driver speeding?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:3. Radar guns measure the rate of distance change between the gun and the object it is measuring. For instance, a
reading of "55 mph" means the object is moving away from the gun at a rate of 55 miles per hour, whereas a
measurement of "-25 mph" would mean that the object is approaching the gun at a rate of 25 miles per hour.
If the radar gun is moving (say, attached to a police car) then radar readouts are only immediately understandable if
the gun and the object are moving along the same line. If a police officer is traveling 60 mph and gets a readout of
15 mph, he knows that the car ahead of him is moving away at a rate of 15 miles an hour, meaning the car is traveling
75 mph. (This straight-line principle is one reason officers park on the side of the highway and try to shoot straight
back down the road. It gives the most accurate reading.)
Suppose an officer is driving due north at 30 mph and sees a car moving due east, as shown in the picture below. Using
his radar gun, he measures a reading of 20 mph. By using landmarks, he believes both he and the other car are about
1/2 mile from the intersection of their two roads. If the speed limit on the other road is 50 mph, is the other driver
speeding?
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