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.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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