Question

An airplane leaves Chicago and makes the 3000-km trip to Los Angeles in $5.0 \mathrm{h}$. A second plane leaves Chicago one-half hour later and arrives in Los Angeles at the same time. Compare the average velocities of the two planes. Ignore the curvature of Earth and the difference in altitude between the two cities.

Name: Problem 83, Chapter 3: University Physics Volume 1
Uploaded: 2020-06-29T09:32:42-08:00
Duration: 1 min 42 s
Channel: Surjit Tewari
Description: An airplane leaves Chicago and makes the 3000-km trip to Los Angeles in 5.0 h. A second plane leaves Chicago one-half hour later and arrives in Los Angeles at the same time. Compare the average velocities of the two planes. Ignore the curvature of Earth and the difference in altitude between the two cities.

   An airplane leaves Chicago and makes the 3000-km trip to Los Angeles in $5.0 \mathrm{h}$. A second plane leaves Chicago one-half hour later and arrives in Los Angeles at the same time. Compare the average velocities of the two planes. Ignore the curvature of Earth and the difference in altitude between the two cities.

University Physics Volume 1

Samuel J. Ling, Jeff… 1st Edition

Chapter 3, Problem 83

Instant Answer

Solved by Expert Surjit Tewari

06/29/2020

Step 1

The first airplane takes 5 hours to cover this distance. The average velocity (V1) of the first airplane can be calculated using the formula for average velocity which is total distance divided by total time. So, we have: \[V1 = \frac{D}{T1}\] Substituting the Show more…

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An airplane leaves Chicago and makes the 3000-km trip to Los Angeles in $5.0 \mathrm{h}$. A second plane leaves Chicago one-half hour later and arrives in Los Angeles at the same time. Compare the average velocities of the two planes. Ignore the curvature of Earth and the difference in altitude between the two cities.

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Key Concepts

Displacement and Distance

Displacement is the straight-line distance from the starting point to the ending point and is used in average velocity calculations when motion occurs in a straight path. Distance, as a scalar quantity, measures the total path length traveled, but in the context of average velocity in one dimension, it is equivalent to displacement.

Time Interval

The time interval refers to the duration over which an object travels from one point to another. Accurately determining the time interval is crucial in calculating average velocity, especially when comparing scenarios where the start and end times differ.

Average Velocity

Average velocity is a fundamental kinematics concept defined as the total displacement divided by the total time taken. It is used to describe the overall motion of an object in a specific direction, smoothing out any variations in speed that may occur during the journey.

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