AP®︎ Calculus BC: 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 BC – Connecting Position, Velocity, and Acceleration of Functions Using Integrals.
Questions List
Topic 8.2
Question 1 Easy
A particle moves along the x-axis, with right positive, with velocity meters per second for , where is measured in seconds. Its position is measured in meters, and . What is the particle's position at seconds?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus BC 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.