Suppose the distances (in feet) covered by a car moving along a straight road after t seconds is given by s = = f(t) = t² + 24t. (a) Calculate the average velocity of the car over the time interval [10, 10+ h]. (b) Use the result in part (a) to find the instantaneous velocity of the car when t = 10. (Label your solution with appropriate units.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Suppose the distance s (in feet) covered by a car moving along a straight road after t seconds is
given by s = f(t) = t² + 24t.
(a) Calculate the average velocity of the car over the time interval [10, 10 + h].
(b) Use the result in part (a) to find the instantaneous velocity of the car when t = 10.
(Label your solution with appropriate units.)
Transcribed Image Text:Suppose the distance s (in feet) covered by a car moving along a straight road after t seconds is given by s = f(t) = t² + 24t. (a) Calculate the average velocity of the car over the time interval [10, 10 + h]. (b) Use the result in part (a) to find the instantaneous velocity of the car when t = 10. (Label your solution with appropriate units.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning