You walk for 6.44 km with at a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 3OQ: Figure OQ3.3 shows a birds-eye view of a car going around a highway curve. As the car moves from...
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You walk for 6.44 km with at a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point
to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk?
There are a number of issues to think about in this problem: The average velocity is the displacement, from initial point to final point, divided by the total time. Set up an
equation for the average velocity in terms of the initial and final position and the total time. You can find the time it takes to walk west from the distance and velocity. You
will need to substitute expressions for the velocity of each segment into the expression for the average velocity. Watch signs of positions and velocities, and unit conversions.
Additional Materials
O Reading
Transcribed Image Text:You walk for 6.44 km with at a constant velocity of 2.55 m/s due west, turn around, and then walk with an average velocity of 0.495 m/s due east. From your starting point to your destination, your overall average velocity is 1.27 m/s due west. During the trip, how far east did you walk? There are a number of issues to think about in this problem: The average velocity is the displacement, from initial point to final point, divided by the total time. Set up an equation for the average velocity in terms of the initial and final position and the total time. You can find the time it takes to walk west from the distance and velocity. You will need to substitute expressions for the velocity of each segment into the expression for the average velocity. Watch signs of positions and velocities, and unit conversions. Additional Materials O Reading
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