The acceleration of a particle moving only on a horizontal xy plane is given by a = 3t i +4rj, where a is in meters per second-squared and t is in seconds. At t = 0, the position vector is 7 = (20 m) i +(40 m) j and the velocity vector V = (5 m/s) i +(2 m/s) j. Find expressions for the (a) x and (b) y component (in meters) of the position of the particle at time t. (c) What is the angle between its velocity and the positive direction of the x axis at time t? (а) х - +5t+20]i m Edit (b) у в Edit (с) в - Edit
The acceleration of a particle moving only on a horizontal xy plane is given by a = 3t i +4rj, where a is in meters per second-squared and t is in seconds. At t = 0, the position vector is 7 = (20 m) i +(40 m) j and the velocity vector V = (5 m/s) i +(2 m/s) j. Find expressions for the (a) x and (b) y component (in meters) of the position of the particle at time t. (c) What is the angle between its velocity and the positive direction of the x axis at time t? (а) х - +5t+20]i m Edit (b) у в Edit (с) в - Edit
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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![The acceleration of a particle moving only on a horizontal xy plane is given by á = 3t i+4t j, where á is in meters per second-squared and t is in seconds. At t = 0, the position vector is 7 = (20 m) i+(40 m) j and the velocity vector
v = (5 m/s) i+(2 m/s) j. Find expressions for the (a) x and (b) y component (in meters) of the position of the particle at time t. (c) What is the angle between its velocity and the positive direction of the x axis at time t?
(а) х %3D
5t+20) i m
Edit
(b) y =
Edit
(c) e =
Edit
Click if you would like to Show Work for this question: Open Show Work](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3e671be-5699-41c7-ad14-09ef8165fba8%2F436ad654-6a49-46e0-8361-2b99a149d164%2Fsdhxser_processed.png&w=3840&q=75)
Transcribed Image Text:The acceleration of a particle moving only on a horizontal xy plane is given by á = 3t i+4t j, where á is in meters per second-squared and t is in seconds. At t = 0, the position vector is 7 = (20 m) i+(40 m) j and the velocity vector
v = (5 m/s) i+(2 m/s) j. Find expressions for the (a) x and (b) y component (in meters) of the position of the particle at time t. (c) What is the angle between its velocity and the positive direction of the x axis at time t?
(а) х %3D
5t+20) i m
Edit
(b) y =
Edit
(c) e =
Edit
Click if you would like to Show Work for this question: Open Show Work
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