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Suppose that the position of one particle at time t is given by x1 = 2 sin(t), y1 = 2 cos(t), Osts 2π and the position of a second particle is given by x2 = -2 + cos(t), (a) Graph the paths of both particles. -4 Y2 = 1 + sin(t), Osts 21. How many points of intersection are there? 2 ✔ points of intersection X O -4 -4 B (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? ⒸYes O No If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)

Suppose that the position of one particle at time t is given by x1 = 2 sin(t), y1 = 2 cos(t), Osts 2π and the position of a second particle is given by x2 = -2 + cos(t), (a) Graph the paths of both particles. -4 Y2 = 1 + sin(t), Osts 21. How many points of intersection are there? 2 ✔ points of intersection X O -4 -4 B (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? ⒸYes O No If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Suppose that the position of one particle at time t is given by x1 = 2 sin(t), y1 = 2 cos(t), Osts 2π and the position of a second particle is given by x2 = -2 + cos(t), (a) Graph the paths of both particles. -4 Y2 = 1 + sin(t), Osts 21. How many points of intersection are there? 2 ✔ points of intersection X O -4 -4 B (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? ⒸYes O No If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.) (c) If the x-coordinate of the second particle is given by x₂ = 2 + cos(t) instead, is there still a collision? O Yes ⒸNo
Transcribed Image Text:Suppose that the position of one particle at time t is given by x1 = 2 sin(t), y1 = 2 cos(t), Osts 2π and the position of a second particle is given by x2 = -2 + cos(t), (a) Graph the paths of both particles. -4 Y2 = 1 + sin(t), Osts 21. How many points of intersection are there? 2 ✔ points of intersection X O -4 -4 B (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? ⒸYes O No If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.) (c) If the x-coordinate of the second particle is given by x₂ = 2 + cos(t) instead, is there still a collision? O Yes ⒸNo
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