A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 5.0 m, y = 4.0 m, and has velocity v = 9.0 m/s î + 10.0 m/s ĵ. The acceleration is given by the vector a = 9.0 m/s? î + 5 m/s? j. (a) Find the velocity vector at t = 7.0 s. 72 v m/s) î + ( 45 m/s) j (b) Find the position vector at t = 4.0 s. (133 x m) î + ( 40 |× m)j (c) Give the magnitude and direction of the position vector in part (b). 19289 X m 16.74 ° (counterclockwise from the +x-axis) The acceleration is constant so you can use the constant-acceleration equations in vector form.
A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 5.0 m, y = 4.0 m, and has velocity v = 9.0 m/s î + 10.0 m/s ĵ. The acceleration is given by the vector a = 9.0 m/s? î + 5 m/s? j. (a) Find the velocity vector at t = 7.0 s. 72 v m/s) î + ( 45 m/s) j (b) Find the position vector at t = 4.0 s. (133 x m) î + ( 40 |× m)j (c) Give the magnitude and direction of the position vector in part (b). 19289 X m 16.74 ° (counterclockwise from the +x-axis) The acceleration is constant so you can use the constant-acceleration equations in vector form.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Transcribed Image Text:A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 5.0 m, y = 4.0 m, and has velocity v = 9.0 m/s î + 10.0 m/s j. The
acceleration is given by the vector a = 9.0 m/s2 î + 5 m/s2 j.
(a) Find the velocity vector at t = 7.0 s.
(72
V m/s) î + ( 45
v m/s) j
(b) Find the position vector at t = 4.0 s.
(133
x m) î + (40
X m) j
(c) Give the magnitude and direction of the position vector
part (b).
X m
X ° (counterclockwise from the +x-axis)
19289
16.74
The acceleration is constant so you can use the constant-acceleration equations in vector form.
eBook
Expert Solution
Step 1
Given:
The position of the particle is x=5.0 m and y=4.0 m.
The velocity vector is .
The acceleration vector is .
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON