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  3. AP Calculus AB - Position, Velocity & Acceleration

ap calculus ab - position, velocity & acceleration

originally streamed in 2019 with Suzanne Ferrell-lockeTeacher
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Learn how position, velocity, and acceleration connect in AP Calculus AB through derivatives and integrals. This tutorial walks you through the fundamental relationships and shows you how to solve common exam problems step by step. You'll explore ho ...more

covered in this stream

units
Unit 4 – Contextual Applications of DifferentiationUnit 8 – Applications of Integration
topics
4.2 Straight-Line Motion4.1 Interpreting the Meaning of the Derivative in Context8.2 Connecting Position, Velocity, and Acceleration of Functions Using IntegralsPosition, Velocity & Acceleration8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts

timestamps

  • 0:00

    Introduction

  • 0:45

    Stream Overview

  • 1:16

    Position-Velocity-Acceleration Relationships

  • 2:51

    Defining Position Function

  • 3:56

    Derivatives to Velocity and Acceleration

  • 5:01

    Integrals to Position

  • 5:35

    First Example: Velocity Calculation

  • 7:41

    Particle Moving Right

  • 10:59

    Second Example: Acceleration Function

  • 13:15

    Units for Acceleration

  • 14:17

    Third Example: Firework Launch

  • 15:55

    Acceleration Due to Gravity

  • 20:47

    Position Function Derived

  • 24:37

    Fourth Example: Mass on Spring

  • 26:10

    Mass Changes Direction

  • 29:59

    Direction at t=pi

  • 37:48

    Fifth Example: Velocity from Acceleration

  • 42:04

    Distance Traveled Integral

  • 57:01

    Speed Increasing or Decreasing

  • 1:02:18

    Last Example: Acceleration and Speed

  • 1:06:08

    Closing and Next Stream

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Company

What's New?PricingBulk DiscountsTestimonialsFAQsEmail us

Resources

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history

🌎 ap world history🇺🇸 ap us history🇪🇺 ap european history

social science

✊🏿 ap african american studies🗳️ ap comparative government🚜 ap human geography💶 ap macroeconomics🤑 ap microeconomics🧠 ap psychology👩🏾‍⚖️ ap us government

english & capstone

✍🏽 ap english language📚 ap english literature🔍 ap research💬 ap seminar

arts

🎨 ap art & design🖼️ ap art history🎵 ap music theory

science

🧬 ap biology🧪 ap chemistry♻️ ap environmental science🎡 ap physics 1🧲 ap physics 2💡 ap physics c: e&m⚙️ ap physics c: mechanics

math & computer science

🧮 ap calculus ab♾️ ap calculus bc📐 ap precalculus📊 ap statistics💻 ap computer science a⌨️ ap computer science p

world languages

🇨🇳 ap chinese🇫🇷 ap french🇩🇪 ap german🇮🇹 ap italian🇯🇵 ap japanese🏛️ ap latin🇪🇸 ap spanish language💃🏽 ap spanish literature

go beyond AP

high school exams

✏️ PSAT🎓 Digital SAT🎒 ACT

honors classes

🍬 honors algebra II🫀 honors anatomy🐇 honors biology👩🏽‍🔬 honors chemistry💲 honors economics📐 honors geometry⚾️ honors physics📏 honors pre-calculus📊 honors statistics🗳️ honors us government🇺🇸 honors us history🌎 honors world history

college classes

👩🏽‍🎤 arts👔 business🎤 communications🏗️ engineering📓 humanities➗ math🧑🏽‍🔬 science💶 social science

hs classes

🏛️ alabama history⛰️ appalachian studies🌴 california history🌍 earth science🌐 ethnic studies🐊 florida history🍑 georgia history🌎 global studies🌺 hawaiian studies📰 journalism🪶 native american studies🌵 new mexico history🤠 oklahoma history⚗️ physical science🎙️ speech and debate🤝 texas government🤠 texas history🌲 washington state history🕊️ world religions
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© 2026 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.