Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
The following shows the stopping distance of a car travelling on wet road and the speed at which it begins braking: Velocity, kph 20 30 60 75 100 120 Stopping Distance, m 10 36 45 90 130 a. Calculate the rate of change of the stopping distance (in m/kph) at a speed of 100 kph numerically using derivatives for unequally spaced data. b. Using the calculated rate of change from (a) as the slope and the point (100 kph, 90 m), estimate the stopping distance (in m) when braking from a speed of 120 kph. c What is the absolute relative error of this estimate to the actual data (in %)?

The following shows the stopping distance of a car travelling on wet road and the speed at which it begins braking: Velocity, kph 20 30 60 75 100 120 Stopping Distance, m 10 36 45 90 130 a. Calculate the rate of change of the stopping distance (in m/kph) at a speed of 100 kph numerically using derivatives for unequally spaced data. b. Using the calculated rate of change from (a) as the slope and the point (100 kph, 90 m), estimate the stopping distance (in m) when braking from a speed of 120 kph. c What is the absolute relative error of this estimate to the actual data (in %)?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The following shows the stopping distance of a car travelling on wet road and the speed at which it begins braking Velocity, kph 30 60 75 100 120 Stopping Distance, m 10 36 45 90 130 a. Calculate the rate of change of the stopping distance (in m/kph) at a speed of 100 kph numerically using derivatives for unequally spaced data. b. Using the calculated rate of change from (a) as the slope and the point (100 kph, 90 m), estimate the stopping distance (in m) when braking from a speed of 120 kph. c. What is the absolute relative error of this estimate to the actual data (in %)? 20
Transcribed Image Text:The following shows the stopping distance of a car travelling on wet road and the speed at which it begins braking Velocity, kph 30 60 75 100 120 Stopping Distance, m 10 36 45 90 130 a. Calculate the rate of change of the stopping distance (in m/kph) at a speed of 100 kph numerically using derivatives for unequally spaced data. b. Using the calculated rate of change from (a) as the slope and the point (100 kph, 90 m), estimate the stopping distance (in m) when braking from a speed of 120 kph. c. What is the absolute relative error of this estimate to the actual data (in %)? 20
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Work and energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS