Suppose that the position of one particle at time t is given by the equations X₁ and y₁. Meanwhile, the position of a second particle is given by the equations x₂ and y₂. X1 4sin(t) Y1 = 2cos(t) 0sts 2 X2-4+ cos(t) Y21+ sin(t) 0sts 2 (a) Graph the paths of both particles. (Do this on paper. Your instructor may ask you to turn in this work.) How many points of intersection are there? (b) Find the collision point, where the particles are at the same place at the same time. ( (c) If the x-coordinate of the second particle is given by x₂ = 4 + cos(t) instead, is there still a collision? Yes O No

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that the position of one particle at time t is given by the equations X₁ and y₁. Meanwhile, the position of a second particle is given by the equations x₂ and y₂.
x1 = 4sin(t)
Y₁ = 2cos(t)
0 ≤t≤ 2n
x₂ = -4 + cos(t)
Y2 = 1 + sin(t)
0 ≤t≤ 2π
(a) Graph the paths of both particles. (Do this on paper. Your instructor may ask you to turn in this work.) How many points of intersection are there?
(b) Find the collision point, where the particles are at the same place at the same time.
(c) If the x-coordinate of the second particle is given by x₂ = 4 + cos(t) instead, is there still a collision?
O Yes
O No
Transcribed Image Text:Suppose that the position of one particle at time t is given by the equations X₁ and y₁. Meanwhile, the position of a second particle is given by the equations x₂ and y₂. x1 = 4sin(t) Y₁ = 2cos(t) 0 ≤t≤ 2n x₂ = -4 + cos(t) Y2 = 1 + sin(t) 0 ≤t≤ 2π (a) Graph the paths of both particles. (Do this on paper. Your instructor may ask you to turn in this work.) How many points of intersection are there? (b) Find the collision point, where the particles are at the same place at the same time. (c) If the x-coordinate of the second particle is given by x₂ = 4 + cos(t) instead, is there still a collision? O Yes O No
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