Exercises 11.1Motion in the xy-plane15. r(1) =In Exercises 1-4, r(r) is the position of a particle in the xy-plane attime t. Find an equation in r and y whose graph is the path of theparticle. Then find the particle's velocity and acceleration vectors afthe given value of t.1. r()= (+)i+(-1)j. 1 = 118. r()3DIn Exercises3. rit)= ei+In 3Exercises 5 8 give the position vectorS of particles moving alongvarious curves in the n plane In cach case, find the particle's velocityand acceleration vectors at the stated umes and sketch them as vectors20. rir)7 UIS)=(5. Motion on the circle xy 1Integrating VEvaluate the integra6. Motion on the circle x4 cos6 6i +7. Mution orn the cyclord xsin f y 1 cosCON8. Motion on the parabola y.pueVelocity and Acceleration in Spaceand at

Given that, the position of the particle is rt=t+1i+t2-1j then x=t+1 and y=t2+1.…

Motion in the xy-plane In Exercises 1-4, r(t) 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 t. 1. r(f) = (7+ 1)i+(-1)j. 1= 1

Motion in the xy-plane In Exercises 1-4, r(t) 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 t. 1. r(f) = (7+ 1)i+(-1)j. 1= 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

Exercises 11.1
Motion in the xy-plane
15. r(1) =
In Exercises 1-4, r(r) is the position of a particle in the xy-plane at
time t. Find an equation in r and y whose graph is the path of the
particle. Then find the particle's velocity and acceleration vectors af
the given value of t.
1. r()= (+)i+(-1)j. 1 = 1
18. r()3D
In Exercises
3. rit)= ei+
In 3
Exercises 5 8 give the position vectorS of particles moving along
various curves in the n plane In cach case, find the particle's velocity
and acceleration vectors at the stated umes and sketch them as vectors
20. rir)
7 UIS)=(
5. Motion on the circle xy 1
Integrating V
Evaluate the integra
6. Motion on the circle x
4 cos
6 6i +
7. Mution orn the cyclord x
sin f y 1 cos
CON
8. Motion on the parabola y.
pue
Velocity and Acceleration in Space
and at

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