describe-the-motion-of-a-particle-with-position-x-y-as-t-varies-in-a-given-interval-x-sin-t-y-cos2-t

Question

Describe the motion of a particle with position $ (x, y) $ as $ t $ varies in a given interval.

$ x = \sin t $, $ \; y = \cos^2 t $, $ \; -2\pi \leqslant t \leqslant 2\pi $

Wen Zheng · Accepted Answer

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Problem

Suppose a curve is a given by the parametric equa…

Problem 22 Easy Difficulty

Describe the motion of a particle with position $ (x, y) $ as $ t $ varies in a given interval.

$ x = \sin t $, $ \; y = \cos^2 t $, $ \; -2\pi \leqslant t \leqslant 2\pi $

Answer

SEE ANIMATION SHOWING MOTION OF PARTICLE

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