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

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 35PQ
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1. demonstrate your ability to complete a related rates word problem;

2. improve your mathematical writing to include full solutions with justifications;

3. integrate mathematical statements into grammatically correct expositions.

Assignment: Complete the following related rates word problem. Include a well-labeled figure and supporting mathematical statements within a grammatically correct exposition.

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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