AP®︎ Calculus BC: Topic 9.6 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 9.6 of AP Calculus BC – Solving Motion Problems Using Parametric and Vector-Valued Functions.
Questions List
Topic 9.6
Question 1 Easy
A particle moves in the -plane with position , where and .
What is the velocity vector of the particle at ?
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 9.6: Solving Motion Problems Using Parametric and Vector-Valued Functions
Learning Objective: FUN-8.B
Determine values for positions and rates of change in problems involving planar motion.
Essential Knowledge: FUN-8.B.1
Derivatives can be used to determine velocity, speed, and acceleration for a particle moving along a curve in the plane defined using parametric or vector-valued functions.
Essential Knowledge: FUN-8.B.2
For a particle in planar motion over an interval of time, the definite integral of the velocity vector represents the particle’s displacement (net change in position) over the interval of time, from which we might determine its position. The definite integral of speed represents the particle’s total distance traveled over the interval of time.
