A train accelerates uniformly from rest at station A to a maximum speed of 72 km/h. The constant maximum speed is maintained for a period of time and the train then decelerates uniformly until it comes to a stop at station B. The distance between the two railway stations is 22 km and the journey takes 20 minutes. If the magnitude of the acceleration is half that of deceleration, by using the graphical method, determine the acceleration, in meters per second per second, and the time, in minutes, during which the train travels at its maximum speed.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 82AP: Professional baseball player Nolan Ryan could pitch a baseball at approximately 160.0 km/h. At that...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A train accelerates uniformly from
rest at station A to a maximum speed
of 72 km/h. The constant maximum
speed is maintained for a period of
time and the train then decelerates
uniformly until it comes to a stop at
station B. The distance between the
two railway stations is 22 km and the
journey takes 20 minutes. If the
magnitude of the acceleration is half
that of deceleration, by using the
graphical method, determine the
acceleration, in meters per second
per second, and the time, in minutes,
during which the train travels at its
maximum speed.
Transcribed Image Text:A train accelerates uniformly from rest at station A to a maximum speed of 72 km/h. The constant maximum speed is maintained for a period of time and the train then decelerates uniformly until it comes to a stop at station B. The distance between the two railway stations is 22 km and the journey takes 20 minutes. If the magnitude of the acceleration is half that of deceleration, by using the graphical method, determine the acceleration, in meters per second per second, and the time, in minutes, during which the train travels at its maximum speed.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning