AP®︎ Calculus BC: Topic 4.2 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.2 of AP Calculus BC – Straight-Line Motion: Connecting Position, Velocity, and Acceleration.


Questions List

Topic 4.2

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17
Q18
Q19
Q20
Q21
Q22
Q23
Q24
Q25

Question 1 Easy

A particle moves along the x-axis with position x(t)=2t3−9t2+7x(t) = 2t^3 - 9t^2 + 7 meters at time tt seconds, for t≥0t \geq 0.

What is the velocity of the particle at t=2t = 2 seconds?

A−13-13 meters per second
B−12-12 meters per second
C−132-\frac{13}{2} meters per second
D66 meters per second

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 4.2: Straight-Line Motion: Connecting Position, Velocity, and Acceleration

Learning Objective: CHA-3.B

Calculate rates of change in applied contexts.

Essential Knowledge: CHA-3.B.1

The derivative can be used to solve rectilinear motion problems involving position, speed, velocity, and acceleration.