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.
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.
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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)...
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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.
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Expert Solution
Step 1: Writing the given data
The x-coordinate of the object,
The y-coordinate of the object,
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