Exercises 11.1Motion in the xy-plane15. r(1) =In Exercises 1-4, r(t) is the position of a particle in the xy-plane atume 1. Find an equation in x and y whose graph is the path of theparticle. Then find the particle's velocity and acceleration veetors atthe given value of r.16. r(1) =17. r)= (1. r) - (+Di+"-Dj. 7 - 1418. r()=2. rir) (r+Di+(2r- Dj. I= 1/2In Exercises 19space at timeEthe velocity and4. rt)- (cös 2ni+ (3 sin 2r)j. 1=019. rir= (EExercises 5 8 give the position vectors of particles moving alongvarious curvex in the xy plane In cach eas, ind the particle's velocityand acceleralion vectors at the stated times and sketch them as vectors20. rr)= (sin rOn the cuve.Integrating VaEvaluate the integra5. Motion on the circle xy1rừ) - (sin ri+ feos r)j. -7/4 and T/26. Motion on the circle x y 16821.ritl =4 cosi-IT and 2227. Mution on the cyc lord xsin t y1 cos !nHi - sin 7ii-11- coos j T and 223esin i+8. Motion o the paratolaY 1H i- j 10 and 1Velocity and Acceleration in Space

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In Exercises 1-4, r(() is the position of a particle in the xy-plane at time t. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at the given value of r. 1. r)= (+1Di+(7- Dj. 1 = 1

In Exercises 1-4, r(() is the position of a particle in the xy-plane at time t. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at the given value of r. 1. r)= (+1Di+(7- Dj. 1 = 1

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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Question

Exercises 11.1
Motion in the xy-plane
15. r(1) =
In Exercises 1-4, r(t) is the position of a particle in the xy-plane at
ume 1. Find an equation in x and y whose graph is the path of the
particle. Then find the particle's velocity and acceleration veetors at
the given value of r.
16. r(1) =
17. r)= (
1. r) - (+Di+"-Dj. 7 - 1
4
18. r()=
2. rir) (r+Di+(2r- Dj. I= 1/2
In Exercises 19
space at timeE
the velocity and
4. rt)- (cös 2ni+ (3 sin 2r)j. 1=0
19. rir= (E
Exercises 5 8 give the position vectors of particles moving along
various curvex in the xy plane In cach eas, ind the particle's velocity
and acceleralion vectors at the stated times and sketch them as vectors
20. rr)= (sin r
On the cuve.
Integrating Va
Evaluate the integra
5. Motion on the circle xy1
rừ) - (sin ri+ feos r)j. -7/4 and T/2
6. Motion on the circle x y 168
21.
ritl =
4 cos
i-
IT and 2
22
7. Mution on the cyc lord x
sin t y
1 cos !
nHi - sin 7ii-11- coos j T and 2
23
esin i+
8. Motion o the paratolaY 1
H i- j 10 and 1
Velocity and Acceleration in Space

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