AP®︎ Calculus AB: Topic 8.2 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.2 of AP Calculus AB – Connecting Position, Velocity, and Acceleration of Functions Using Integrals.


Questions List

Topic 8.2

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

Question 1 Easy

A particle moves along the x-axis with velocity v(t)=6t2+4tv(t)=6t^2+4t meters per second, where tt is measured in seconds.

What is the particle's displacement from t=1t=1 to t=3t=3?

A7272 meters
B6868 meters
C6666 meters
D5656 meters

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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 8.2: Connecting Position, Velocity, and Acceleration of Functions Using Integrals

Learning Objective: CHA-4.C

Determine values for positions and rates of change using definite integrals in problems involving rectilinear motion.

Essential Knowledge: CHA-4.C.1

For a particle in rectilinear motion over an interval of time, the definite integral of velocity represents the particle’s displacement over the interval of time, and the definite integral of speed represents the particle’s total distance traveled over the interval of time.