A point starts at the location (4, 0) and travels CCW along a circular path centered at the location (0, 0). (Draw a diagram of this!) Imagine an angle with the initial ray pointing in the 3 o'clock position with a terminal ray passing through the point. The point moves at a constant speed, and the angle sweeps out 2 radians per second. Let t represent the number of seconds since the point started moving. a. Write an expression (in terms of t) to represent the number of radians the angle has swept out since the point started moving. Preview b. Write a formula that expresses the r-coordinate of the point in terms of the number of seconds t since the point started moving. (Hint: what is the radius of the circular path?) Preview c. How long does it take the point to complete one full rotation? seconds Preview d. Sketch a graph relating z to t. (Represent t on the horizontal axis and z on the vertical axis.) + +. -1- 1/2 37/2 -2+ -3+ Type here to search esc #31 3. %24 3. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
icon
Related questions
Question
A point starts at the location (4, 0) and travels CCW along a circular path centered at the location (0, 0).
(Draw a diagram of this!) Imagine an angle with the initial ray pointing in the 3 o'clock position with a
terminal ray passing through the point. The point moves at a constant speed, and the angle sweeps out 2
radians
per
second.
Let t represent the number of seconds since the point started moving.
a. Write an expression (in terms of t) to represent the number of radians the angle has swept out since
the point started moving.
Preview
b. Write a formula that expresses the r-coordinate of the point in terms of the number of seconds t since
the point started moving. (Hint: what is the radius of the circular path?)
Preview
c. How long does it take the point to complete one full rotation?
seconds
Preview
d. Sketch a graph relating z to t. (Represent t on the horizontal axis and z on the vertical axis.)
+
+.
-1-
1/2
37/2
-2+
-3+
Type here to search
esc
#31
3.
%24
3.
2.
Transcribed Image Text:A point starts at the location (4, 0) and travels CCW along a circular path centered at the location (0, 0). (Draw a diagram of this!) Imagine an angle with the initial ray pointing in the 3 o'clock position with a terminal ray passing through the point. The point moves at a constant speed, and the angle sweeps out 2 radians per second. Let t represent the number of seconds since the point started moving. a. Write an expression (in terms of t) to represent the number of radians the angle has swept out since the point started moving. Preview b. Write a formula that expresses the r-coordinate of the point in terms of the number of seconds t since the point started moving. (Hint: what is the radius of the circular path?) Preview c. How long does it take the point to complete one full rotation? seconds Preview d. Sketch a graph relating z to t. (Represent t on the horizontal axis and z on the vertical axis.) + +. -1- 1/2 37/2 -2+ -3+ Type here to search esc #31 3. %24 3. 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax