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Extrema in Parametric Models of Motion

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When the motion of a particle in a plane is modeled by parametric functions, what do the horizontal and vertical extrema of the particle’s path represent?

A

Horizontal and vertical extrema represent the particle’s initial and final positions in the plane.

B

Horizontal and vertical extrema signify points where the particle’s acceleration is zero in both directions simultaneously.

C

Horizontal and vertical extrema indicate the particle’s maximum velocity in the x and y directions.

D

Horizontal and vertical extrema represent points where the particle’s motion changes direction along the x-axis or y-axis respectively.

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