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Suppose that the position of one particle at time t is given by x15 sin(t), y₁ = 2 cos(t), Osts 2 and the position of a second particle is given by x2-5 + cos(t), y₂ = 1 + sin(t), 0 sts 2. (a) Graph the paths of both particles. 6 2 6 4 6 4 x x -6 -4 -2 4 6 -6 -4 -2 2 4 6 -6 -4 -2 4 6 -6 -4 -2 2 4 6 -2 -2 -4 How many points of intersection are there? points of intersection -4 -6 -4 -6 -4 -6H (b) Are any of these points of intersection collision points? That is, are the particles ever at the same place at the same time? If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs of the form (x, y). If there are no collision points, enter DNE.) (x, y) = (c) Describe what happens if the path of the second particle is given by x25+ cos(t), y₂ = 1 + sin(t), Osts 2. The circle is centered at (x, y) = There are intersection point(s), and there are collision point(s).

Suppose that the position of one particle at time t is given by x15 sin(t), y₁ = 2 cos(t), Osts 2 and the position of a second particle is given by x2-5 + cos(t), y₂ = 1 + sin(t), 0 sts 2. (a) Graph the paths of both particles. 6 2 6 4 6 4 x x -6 -4 -2 4 6 -6 -4 -2 2 4 6 -6 -4 -2 4 6 -6 -4 -2 2 4 6 -2 -2 -4 How many points of intersection are there? points of intersection -4 -6 -4 -6 -4 -6H (b) Are any of these points of intersection collision points? That is, are the particles ever at the same place at the same time? If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs of the form (x, y). If there are no collision points, enter DNE.) (x, y) = (c) Describe what happens if the path of the second particle is given by x25+ cos(t), y₂ = 1 + sin(t), Osts 2. The circle is centered at (x, y) = There are intersection point(s), and there are collision point(s).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 67E
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Suppose that the position of one particle at time t is given by x15 sin(t), y₁ = 2 cos(t), Osts 2 and the position of a second particle is given by x2-5 + cos(t), y₂ = 1 + sin(t), 0 sts 2. (a) Graph the paths of both particles. 6 2 6 4 6 4 x x -6 -4 -2 4 6 -6 -4 -2 2 4 6 -6 -4 -2 4 6 -6 -4 -2 2 4 6 -2 -2 -4 How many points of intersection are there? points of intersection -4 -6 -4 -6 -4 -6H (b) Are any of these points of intersection collision points? That is, are the particles ever at the same place at the same time? If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs of the form (x, y). If there are no collision points, enter DNE.) (x, y) = (c) Describe what happens if the path of the second particle is given by x25+ cos(t), y₂ = 1 + sin(t), Osts 2. The circle is centered at (x, y) = There are intersection point(s), and there are collision point(s).
Transcribed Image Text:Suppose that the position of one particle at time t is given by x15 sin(t), y₁ = 2 cos(t), Osts 2 and the position of a second particle is given by x2-5 + cos(t), y₂ = 1 + sin(t), 0 sts 2. (a) Graph the paths of both particles. 6 2 6 4 6 4 x x -6 -4 -2 4 6 -6 -4 -2 2 4 6 -6 -4 -2 4 6 -6 -4 -2 2 4 6 -2 -2 -4 How many points of intersection are there? points of intersection -4 -6 -4 -6 -4 -6H (b) Are any of these points of intersection collision points? That is, are the particles ever at the same place at the same time? If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs of the form (x, y). If there are no collision points, enter DNE.) (x, y) = (c) Describe what happens if the path of the second particle is given by x25+ cos(t), y₂ = 1 + sin(t), Osts 2. The circle is centered at (x, y) = There are intersection point(s), and there are collision point(s).
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