AP®︎ Precalculus: Topic 4.2 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.2 of AP Precalculus – Parametric Functions Modeling Planar Motion.


Questions List

Topic 4.2

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17
Q18
Q19

Question 1 Easy

A particle's position at time tt is f(t)=(x(t),y(t))f(t) = (x(t), y(t)).

Which statement is equivalent to f(2)=(−1,4)f(2) = (-1, 4)?

Ax(2)=−1x(2) = -1 and y(−1)=4y(-1) = 4
Bx(2)=−1x(2) = -1 and y(2)=4y(2) = 4
Cx(2)=4x(2) = 4 and y(2)=−1y(2) = -1
Dx(−1)=2x(-1) = 2 and y(4)=2y(4) = 2

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Precalculus Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 4.2: Parametric Functions Modeling Planar Motion

Learning Objective: 4.2.A

Identify key characteristics of a parametric planar motion function that are related to position.

Essential Knowledge: 4.2.A.1

A parametric function given by f(t)=(x(t),y(t))f(t) = (x(t), y(t)) can be used to model particle motion in the plane. The graph of this function indicates the position of a particle at time tt.

Essential Knowledge: 4.2.A.2

The horizontal and vertical extrema of a particle’s motion can be determined by identifying the maximum and minimum values of the functions x(t)x(t) and y(t)y(t), respectively.

Essential Knowledge: 4.2.A.3

The real zeros of the function x(t)x(t) correspond to yy-intercepts, and the real zeros of y(t)y(t) correspond to xx-intercepts.