A police car is moving east towards an intersection at 25 miles per hour, and the police inside the car is using radar to determine the rate at which the distance is changing between them and another vehicle that is traveling south. When the police car is 12 miles west of the intersection and the other vehicle is 5 miles north of the intersection, it is determined that the distance between them and the other vehicle is decreasing at a rate of 35 miles per hour. Find the speed of the car when the car is 5 miles north of the intersection.

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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A police car is moving east towards an intersection at 25 miles per hour, and the police
inside the car is using radar to determine the rate at which the distance is changing between
them and another vehicle that is traveling south. When the police car is 12 miles west of
the intersection and the other vehicle is 5 miles north of the intersection, it is determined
that the distance between them and the other vehicle is decreasing at a rate of 35 miles per
hour. Find the speed of the car when the car is 5 miles north of the intersection.

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