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2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by x₂ = 3 + cost y2 = 1 + sin t 0≤t≤ 2π X

2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by x₂ = 3 + cost y2 = 1 + sin t 0≤t≤ 2π X

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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2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by x₂ = 3 + cost Y₂ = 1 + sin t 0 ≤ t ≤ 2π X
Transcribed Image Text:2. Repeat the problem about the collision points discussed in recitation but this time describe what happens if the path of the second particle is given instead by x₂ = 3 + cost Y₂ = 1 + sin t 0 ≤ t ≤ 2π X
Suppose that the position of one particle at time t is given by x₁ = 3 sint y₁ = 2 cost And the position of a second particle is given by 0 ≤t≤ 2π (path 2) Y2 a) Graph the paths of both particles (you can use your calculator for this). How many points of intersection are there? b) Are any of these points of intersection collision points? I.e. are the particles ever in the same place at the same time? If find the collision points SO, x2 = -3 + cost : 1 + sin t 0 ≤t≤ 2π (path 1) - x
Transcribed Image Text:Suppose that the position of one particle at time t is given by x₁ = 3 sint y₁ = 2 cost And the position of a second particle is given by 0 ≤t≤ 2π (path 2) Y2 a) Graph the paths of both particles (you can use your calculator for this). How many points of intersection are there? b) Are any of these points of intersection collision points? I.e. are the particles ever in the same place at the same time? If find the collision points SO, x2 = -3 + cost : 1 + sin t 0 ≤t≤ 2π (path 1) - x
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