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Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = −3+ cos(t), y2 = 1 + sin(t), y2 = 1 + sin(t), 0≤t≤ 2π.

Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = −3+ cos(t), y2 = 1 + sin(t), y2 = 1 + sin(t), 0≤t≤ 2π.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How many points of intersection are there? points of intersection (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 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 = 3 + cos(t) instead, is there still a collision? Yes No
Transcribed Image Text:How many points of intersection are there? points of intersection (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 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 = 3 + cos(t) instead, is there still a collision? Yes No
Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = -3 + cos(t), y2 = 1 + sin(t), Y2 = 1 + sin(t), 0≤t≤ 2π.
Transcribed Image Text:Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = -3 + cos(t), y2 = 1 + sin(t), Y2 = 1 + sin(t), 0≤t≤ 2π.
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