In reaching her destination, a backpacker walks with an average velocity of 1.21

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Homework Help Overview

The problem involves a backpacker walking with an average velocity of 1.21 m/s due west after hiking a distance of 6.44 km at a different average velocity and then returning at another velocity. The question seeks to determine how far east she walked.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of average velocity and distance, with one attempting to manipulate equations related to velocity and time. Another participant suggests listing known variables and solving symbolically to clarify the problem.

Discussion Status

The discussion is ongoing, with participants offering guidance on how to approach the problem symbolically and emphasizing the importance of understanding the relationships between distance, velocity, and time. There is no explicit consensus yet on the next steps.

Contextual Notes

Participants are navigating the complexity of the problem, including the need to distinguish between total distance walked and displacement. The original poster expresses confusion about how to proceed with the calculations.

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Homework Statement



In reaching her destination, a backpacker walks with an average velocity of 1.21 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.52 m/s, due west, turns around, and hikes with an average velocity of 0.435 m/s, due east. How far east did she walk? in km? ______km


Homework Equations





The Attempt at a Solution

 
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Attempt?
 
tvavanasd said:
Attempt?

6.44(1000)=(6440m)/(1.21m/s)=(5322.31405seconds)/2.52m/s=2112.029

(6440-d) + ((6440-d)/.435)) = d/1.21

i'm lost. i don't know what to do next.
 
Start by listing all variables that you know. Solve symbolically; it will be too confusing otherwise.
You already know v = x / t and t = x / v
Use and manipulate:
V3 = X3 / T3 (this is average overall)
T3 = T1 + T2
X3 = X1 + X2
You will also need V1 = X1 / T1 and V2 = X2 / T2 (manipulate as necessary).
Solve for Xtotal, then assume that west is positive (east is -ve) and substitute X1 = 6440 m, V1 = 2.52m/s, V3 = 1.21 m/s and V2 = -0.435 m/s

Note that X3 will be her displacement from start to finish, not the total distance that she walked.
 
Last edited:

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