Question

The McNamara Delta terminal at the Metro Detroit Airport has moving walkways for the convenience of the passengers. Robert walks beside one walkway and takes $30.0 \mathrm{~s}$ to cover its length. John simply stands on the walkway and covers the same distance in $13.0 \mathrm{~s}$. Kathy walks on the walkway with the same speed as Robert's. How long does Kathy take to complete her stroll?

Name: Problem 79, Chapter 3: University Physics with Modern Physics
Uploaded: 2021-06-22T18:55:57-08:00
Duration: 3 min 9 s
Channel: Donald Albin
Description: The McNamara Delta terminal at the Metro Detroit Airport has moving walkways for the convenience of the passengers. Robert walks beside one walkway and takes 30.0 s to cover its length. John simply stands on the walkway and covers the same distance in 13.0 s. Kathy walks on the walkway with the same speed as Robert's. How long does Kathy take to complete her stroll?

   The McNamara Delta terminal at the Metro Detroit Airport has moving walkways for the convenience of the passengers. Robert walks beside one walkway and takes $30.0 \mathrm{~s}$ to cover its length. John simply stands on the walkway and covers the same distance in $13.0 \mathrm{~s}$. Kathy walks on the walkway with the same speed as Robert's. How long does Kathy take to complete her stroll?

University Physics with Modern Physics

Wolfgang Bauer, Gary… 1st Edition

Chapter 3, Problem 79

Instant Answer

Solved by Expert Donald Albin

06/22/2021

Step 1

The velocity of Robert is the distance divided by the time he took to cover it, which is $V_{Robert} = \frac{X}{30}$. Similarly, the velocity of the walkway (or John's velocity) is $V_{walkway} = \frac{X}{13}$. Show more…

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The McNamara Delta terminal at the Metro Detroit Airport has moving walkways for the convenience of the passengers. Robert walks beside one walkway and takes $30.0 \mathrm{~s}$ to cover its length. John simply stands on the walkway and covers the same distance in $13.0 \mathrm{~s}$. Kathy walks on the walkway with the same speed as Robert's. How long does Kathy take to complete her stroll?

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Key Concepts

Relative Velocity

Relative velocity refers to how the speed of an object is measured in relation to different frames of reference. In this context, it involves combining the speed of a person walking with the speed of the moving walkway, allowing one to analyze motion from either the walkway's frame or the stationary ground frame.

Uniform Motion

This concept involves objects moving at constant speeds, meaning the distance traveled is directly proportional to the time spent moving. In problems like this, the relationship distance = speed × time is essential for setting up equations and computing unknown quantities.

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