Two cars approach an intersection at right angles, one traveling north at 60 km/h and the other heading east at 80 km/h. When the fastest car is 5 km from the intersection, the other car is 3 km from it. The distance, d, between the two cars depends on time and is given by the function (shown in the image). Determines the speed at which the two cars approach or move away from each other at this time (at 0h). Interpret the sign of your answer.
Two cars approach an intersection at right angles, one traveling north at 60 km/h and the other heading east at 80 km/h. When the fastest car is 5 km from the intersection, the other car is 3 km from it. The distance, d, between the two cars depends on time and is given by the function (shown in the image). Determines the speed at which the two cars approach or move away from each other at this time (at 0h). Interpret the sign of your answer.
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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Two cars approach an intersection at right angles, one traveling north at 60 km/h and the other heading east at 80 km/h. When the fastest car is 5 km from the intersection, the other car is 3 km from it. The distance, d, between the two cars depends on time and is given by the function (shown in the image).
Determines the speed at which the two cars approach or move away from each other at this time (at 0h). Interpret the sign of your answer.
Transcribed Image Text:d (t)=√(5-80t)² + (3-60t)².
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