The coordinates of an object moving in the xy plane vary with time according to the following equations. It is in seconds and w has units of seconds-1. x = -(3.00 m) sin(wt) y = (4.00 m) (3.00 m) cos(wt) (a) Determine the components of velocity and components of acceleration at t = 0. (Use w as appropriate.) =(-3.00 1+0 Ĵ) m/s à ( G v= X a= x (b) Write expressions for the position vector, the velocity vector, and the acceleration vector at any time t > 0. (Use w and t as appropriate.) x x î+ x m m/s X m/s² Ĵ) m/s² (c) Describe the path of the object on an xy graph.

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
Section: Chapter Questions
Problem 55P
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The coordinates of an object moving in the xy plane vary with time according to the following equations. t is in seconds and w has units of seconds-1.
x = -(3.00 m) sin(wt)
7
y = (4.00 m) - (3.00 m) cos(wt)
(a) Determine the components of velocity and components of acceleration at t = 0. (Use was appropriate.)
=(-3.00
1+0
Ĵ) m/s
a=(
v=
à =
X
X
(b) Write expressions for the position vector, the velocity vector, and the acceleration vector at any time t > 0. (Use w and t as appropriate.)
f =
x
x
Score: 0 out of 0.2
Comment:
î+
m
m/s
m/s²
x
Ĵ) m/s²
(c) Describe the path of the object on an xy graph.
Type here to search
https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=30035715&tags=autosave#Q5
O
10
65°F
Transcribed Image Text:The coordinates of an object moving in the xy plane vary with time according to the following equations. t is in seconds and w has units of seconds-1. x = -(3.00 m) sin(wt) 7 y = (4.00 m) - (3.00 m) cos(wt) (a) Determine the components of velocity and components of acceleration at t = 0. (Use was appropriate.) =(-3.00 1+0 Ĵ) m/s a=( v= à = X X (b) Write expressions for the position vector, the velocity vector, and the acceleration vector at any time t > 0. (Use w and t as appropriate.) f = x x Score: 0 out of 0.2 Comment: î+ m m/s m/s² x Ĵ) m/s² (c) Describe the path of the object on an xy graph. Type here to search https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=30035715&tags=autosave#Q5 O 10 65°F
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