To calculate: The area under the velocity curve in which the time intervals will get vary in length.
Answer to Problem 11E
The distance travelled is 0.633 mile
Explanation of Solution
Given information:
The accompanying table shows time-Io-speed data for a 2011 Scarpellone Panther accelerating from rest to 130 mph.
Formula used:
Calculation:
Since, here time intervals vary in length: the graph of f on [a,b] can be approximated by astraight line segment at each subinterval, The region between the curve and the x-axis is thenapproximated by the trapezoids: the area of each trapezoid being the length of its horizontal“altitude" times the average of two vertical “bases“: Since time is given in second so, right sightside must be divided by 3600 to convert the time into hour. That is,
Now, substitute the values from given table in the above equation and dince
Conclusion:
The distance travelled is 0.633 mile
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Precalculus
Calculus: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning