A car is traveling a road that makes quarter of a circle with a constant speed s. What is the magnitude of the average velocity v of the car?

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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**Problem Statement:**

A car is traveling a road that makes a quarter of a circle with a constant speed \( s \). What is the magnitude of the average velocity \( v \) of the car? 

**Explanation:**

This problem involves a scenario where a car moves along a curved path, specifically a quarter-circle. The objective is to determine the average velocity of the car while it maintains a constant speed \( s \). Average velocity is defined as the total displacement divided by the total time taken. Since the path is curved, consider how the displacement relates to the geometry of the circle. 

There are no graphs or diagrams accompanying the text. If one were provided, it might typically illustrate the circular path with starting and ending points, the radius, and possibly arrows indicating direction and displacement.
Transcribed Image Text:**Problem Statement:** A car is traveling a road that makes a quarter of a circle with a constant speed \( s \). What is the magnitude of the average velocity \( v \) of the car? **Explanation:** This problem involves a scenario where a car moves along a curved path, specifically a quarter-circle. The objective is to determine the average velocity of the car while it maintains a constant speed \( s \). Average velocity is defined as the total displacement divided by the total time taken. Since the path is curved, consider how the displacement relates to the geometry of the circle. There are no graphs or diagrams accompanying the text. If one were provided, it might typically illustrate the circular path with starting and ending points, the radius, and possibly arrows indicating direction and displacement.
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where does the piR/2 come from?

TR
2
/s
Transcribed Image Text:TR 2 /s
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