Homework Help is Here – Start Your Trial Now!
Math
Calculus
The position function of a particle is given by r(t) = (t2, 2t, t2 - 16t). When is the speed a minimum? Step 1 To find when the speed is a minimum, we need to find the speed as a function of t, then find its derivative and see when it is 0. We begin by finding the velocity vector. Since r(t) = (t2, 2t, t² - 16t), we have v(t) = r(t) = [21, 2, 21-16] (2t, 2, 2t - 16) Step 2 We remember that the speed is the magnitude of the velocity vector, and is calculated as follows. |v(t)=√(2t)² + (2)² + (2t - 16)² = √ t +

The position function of a particle is given by r(t) = (t2, 2t, t2 - 16t). When is the speed a minimum? Step 1 To find when the speed is a minimum, we need to find the speed as a function of t, then find its derivative and see when it is 0. We begin by finding the velocity vector. Since r(t) = (t2, 2t, t² - 16t), we have v(t) = r(t) = [21, 2, 21-16] (2t, 2, 2t - 16) Step 2 We remember that the speed is the magnitude of the velocity vector, and is calculated as follows. |v(t)=√(2t)² + (2)² + (2t - 16)² = √ t +

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

I would appreciate your help, thanks!

The position function of a particle is given by r(t) = (t², 2t, t² – 16t). When is the speed a minimum? Step 1 To find when the speed is a minimum, we need to find the speed as a function of t, then find its derivative and see when it is 0. We begin by finding the velocity vector. Since r(t) = (t², 2t, t² — 16t), we have v(t) = r'(t) = 2t, 2, 2t - 16 (2t, 2, 2t - 16) Step 2 We remember that the speed is the magnitude of the velocity vector, and is calculated as follows. |v(t)=√(2t)² + (2)² + (2t - 16)² = t +
Transcribed Image Text:The position function of a particle is given by r(t) = (t², 2t, t² – 16t). When is the speed a minimum? Step 1 To find when the speed is a minimum, we need to find the speed as a function of t, then find its derivative and see when it is 0. We begin by finding the velocity vector. Since r(t) = (t², 2t, t² — 16t), we have v(t) = r'(t) = 2t, 2, 2t - 16 (2t, 2, 2t - 16) Step 2 We remember that the speed is the magnitude of the velocity vector, and is calculated as follows. |v(t)=√(2t)² + (2)² + (2t - 16)² = t +
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS