A train traveling at vo = 20.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration m/s² a(v) = D = α where a = -22.0 m²/s³, v is the instantaneous velocity of the train, and u = 0.5 m/s. Determine the distance D traveled by the train before it comes to a complete stop. v +u Incorrect 125.758 m

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A train traveling at vo = 20.0 m/s begins to brake by applying a velocity-dependent insta < Feedback
m/s²
a(v) =
D =
where a = -22.0 m²/s3, v is the instantaneous velocity of the train, and u = 0.5 m/s.
Determine the distance D traveled by the train before it comes to a complete stop.
α
v+u
125.758
Incorrect
Use calculus to derive the equation
for the train's velocity as a function of
time from the explicit dependence of
the acceleration on velocity.
a (v) =
du
dt
=
α
(v +u)
α
(v +u)
(v +u) dv = (a) dt
Integrate both sides of this equation
to obtain an expression for u in terms
of t. Make sure to use appropriate
integration limits or boundary
conditions. Then, set v = 0 and solve
for the time it takes the train to stop.
Follow a similar procedure to obtain
an expression for distance as a
function of time. The resulting
Transcribed Image Text:A train traveling at vo = 20.0 m/s begins to brake by applying a velocity-dependent insta < Feedback m/s² a(v) = D = where a = -22.0 m²/s3, v is the instantaneous velocity of the train, and u = 0.5 m/s. Determine the distance D traveled by the train before it comes to a complete stop. α v+u 125.758 Incorrect Use calculus to derive the equation for the train's velocity as a function of time from the explicit dependence of the acceleration on velocity. a (v) = du dt = α (v +u) α (v +u) (v +u) dv = (a) dt Integrate both sides of this equation to obtain an expression for u in terms of t. Make sure to use appropriate integration limits or boundary conditions. Then, set v = 0 and solve for the time it takes the train to stop. Follow a similar procedure to obtain an expression for distance as a function of time. The resulting
A train traveling at vo = 20.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration
m/s²
a(v) =
D =
a
where a = -22.0 m²/s3, v is the instantaneous velocity of the train, and u = 0.5 m/s.
Determine the distance D traveled by the train before it comes to a complete stop.
v +u
Incorrect
125.758
m
Transcribed Image Text:A train traveling at vo = 20.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration m/s² a(v) = D = a where a = -22.0 m²/s3, v is the instantaneous velocity of the train, and u = 0.5 m/s. Determine the distance D traveled by the train before it comes to a complete stop. v +u Incorrect 125.758 m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College