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  3. ZuAI AP College Board Pre-Calculus
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Parametric Functions Modeling Planar Motion

Olivia King

Olivia King

8 min read

Next Topic - Parametrically Defined Circles and Lines
Study Guide Overview

This study guide covers parametric functions and planar motion, focusing on how to model motion using x(t) and y(t). It explains how to find horizontal and vertical extrema using algebraic and numerical methods. Finally, it covers finding x and y intercepts by setting x(t) and y(t) to zero, respectively.

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Previous Topic - Parametric Functions and Rates of ChangeNext Topic - Parametrically Defined Circles and Lines

Question 1 of 8

A particle's position is given by x(t)=t+2x(t) = t + 2x(t)=t+2 and y(t)=2ty(t) = 2ty(t)=2t. What is the particle's location at time t=1t = 1t=1?

(1, 2)

(2, 1)

(3, 2)

(2, 3)