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 ofthe particle.

Answered: Image /qna-images/answer/215a1909-2219-43e8-a5b1-0c50083aa203.jpg

Answered: A particle travels in the xy -plane…

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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