In Exercises 19–22, r(t) is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t = 0. 19. r(t) = (3t + 1)i + V3tj + t°k /2 t i + 162 )j 20. r(t) 21. r(t) (In (f² + 1))i + (tan¯' t)j + V² + 1 k 4 22. r() = (1 + ni +1 – n²j + 1 + t)³/½i + (1 – 13/2j + tk

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...
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In Exercises 19–22, r(t) is the position of a particle in space at time t.
Find the angle between the velocity and acceleration vectors at time
t = 0.
19. r(t) = (3t + 1)i + V3tj + t°k
/2
t i +
162 )j
20. r(t)
21. r(t)
(In (f² + 1))i + (tan¯' t)j + V² + 1 k
4
22. r() = (1 + ni +1 – n²j +
1 + t)³/½i + (1 – 13/2j +
tk
Transcribed Image Text:In Exercises 19–22, r(t) is the position of a particle in space at time t. Find the angle between the velocity and acceleration vectors at time t = 0. 19. r(t) = (3t + 1)i + V3tj + t°k /2 t i + 162 )j 20. r(t) 21. r(t) (In (f² + 1))i + (tan¯' t)j + V² + 1 k 4 22. r() = (1 + ni +1 – n²j + 1 + t)³/½i + (1 – 13/2j + tk
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