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A particle travels in the xy -plane with a path defined by the parametric equations x(t) = t - 3 and y(t) = 9 (t - 3)², for 0 st≤ 6. a. Twice during the particle's journey, it has a y -coordinate of 5. What is its x - coordinate at these two moments. b. Eliminate the parameter to find an equation whose graph describes the path of the particle.

A particle travels in the xy -plane with a path defined by the parametric equations x(t) = t - 3 and y(t) = 9 (t - 3)², for 0 st≤ 6. a. Twice during the particle's journey, it has a y -coordinate of 5. What is its x - coordinate at these two moments. b. Eliminate the parameter to find an equation whose graph describes the path of the particle.

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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A particle travels in the xy -plane with a path defined by the parametric equations _x(t) = t - 3 and y(t) = 9 - (t - 3)², for 0 ≤ t ≤ 6. a. Twice during the particle's journey, it has a y -coordinate of 5. What is its * - coordinate at these two moments. b. Eliminate the parameter to find an equation whose graph describes the path of the particle.
Transcribed Image Text:A particle travels in the xy -plane with a path defined by the parametric equations _x(t) = t - 3 and y(t) = 9 - (t - 3)², for 0 ≤ t ≤ 6. a. Twice during the particle's journey, it has a y -coordinate of 5. What is its * - coordinate at these two moments. b. Eliminate the parameter to find an equation whose graph describes the path of the particle.
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