New Velocity/Distance Question 1/25

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Homework Help Overview

The discussion revolves around a problem involving average velocity and distance traveled by a backpacker. The scenario describes her hiking journey with varying velocities in different directions, leading to a question about the distance walked east.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to derive time and distance for the return trip, with some questioning the definitions of distance (D) and time (T) in the context of average velocity.

Discussion Status

The discussion is ongoing, with participants exploring the relationships between distance, time, and velocity. Some guidance has been offered regarding the equations available for solving the problem, but no consensus has been reached on the specific approach to take.

Contextual Notes

There appears to be confusion regarding the application of formulas and the derivation of unknowns, which may be influenced by imposed homework rules or the complexity of the problem setup.

ilh
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Homework Statement


In reaching her destination, a backpacker walks with an average velocity of 1.44 m/s, due west. This average velocity results, because she hikes for 5.48 km with an average velocity of 3.25 m/s due west, turns around, and hikes with an average velocity of 0.683 m/s due east. How far east did she walk (in kilometers)?

Homework Equations



v1 = 3.25 m/s west
d1= 5480 m
t1= 1686

v2 = 0.638 m/s east
d2 = ?
t2= ?

The Attempt at a Solution



I know I have to plug in my numbers into the formula but I do not know how to derive second time or distance. Please help.

 
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ilh said:

Homework Statement


In reaching her destination, a backpacker walks with an average velocity of 1.44 m/s, due west. This average velocity results, because she hikes for 5.48 km with an average velocity of 3.25 m/s due west, turns around, and hikes with an average velocity of 0.683 m/s due east. How far east did she walk (in kilometers)?

Homework Equations



v1 = 3.25 m/s west
d1= 5480 m
t1= 1686

v2 = 0.638 m/s east
d2 = ?
t2= ?

The Attempt at a Solution



I know I have to plug in my numbers into the formula but I do not know how to derive second time or distance. Please help.
What is the formula for average velocity?
 
PhanthomJay said:
What is the formula for average velocity?
V = D/T
 
ilh said:
I do not know how to derive second time or distance.
You successfully found t1 by an equation. You have two more such equations available: one for the return trip and one for the trip as a whole. You have two unknowns.
 
ilh said:
V = D/T
But what does D represent when finding average velocity?and T?
 

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