AP®︎ Calculus AB: Topic 1.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.1 of AP Calculus AB – Introducing Calculus: Can Change Occur at an Instant?.


Questions List

Topic 1.1

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Question 1 Easy

A stone is dropped from a bridge. After tt seconds, it has fallen s(t)=16t2s(t)=16t^2 feet.

What is the average velocity of the stone over the interval 1≤t≤31\leq t\leq 3?

A80 feet per second
B64 feet per second
C48 feet per second
D128 feet per second

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 1.1: Introducing Calculus: Can Change Occur at an Instant?

Learning Objective: CHA-1.A

Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.

Essential Knowledge: CHA-1.A.1

Calculus uses limits to understand and model dynamic change.

Essential Knowledge: CHA-1.A.2

Because an average rate of change divides the change in one variable by the change in another, the average rate of change is undefined at a point where the change in the independent variable would be zero.

Essential Knowledge: CHA-1.A.3

The limit concept allows us to define instantaneous rate of change in terms of average rates of change.