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

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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