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ap calc - position, velocity & acceleration

originally streamed in 2019 with Suzanne Ferrell-lockeTeacher
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Learn how position, velocity, and acceleration connect through derivatives in AP Calculus. This video breaks down motion problems with step-by-step examples that show up on the AP exam, helping you understand derivative applications and solve problem ...more

covered in this stream

units
Unit 4 – Contextual Applications of DifferentiationUnit 8 – Applications of Integration
topics
4.2 Straight-Line Motion8.2 Connecting Position, Velocity, and Acceleration of Functions Using IntegralsPosition, Velocity & Acceleration8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts

timestamps

  • 0:00

    Position Velocity Acceleration Relationships

  • 2:08

    Derivatives for Velocity and Acceleration

  • 3:11

    Integrals for Velocity and Position

  • 4:15

    First Example Position Function

  • 5:17

    Finding Velocity Function

  • 6:18

    When Velocity is Zero

  • 6:50

    Particle Moving Right Analysis

  • 10:01

    Second Example Acceleration Function

  • 11:04

    Derivative to Acceleration

  • 13:18

    Firework Gravity Example

  • 14:52

    Integrate Acceleration to Velocity

  • 16:56

    Integrate Velocity to Position

  • 20:35

    Solve for Striking Ground

  • 23:46

    Mass on Spring Example

  • 24:18

    Velocity from Position Derivative

  • 25:19

    When Mass Changes Direction

  • 28:03

    Direction at t=π

  • 30:46

    Velocity vs Speed Difference

  • 36:40

    Acceleration Given Find Velocity

  • 38:14

    Apply Initial Velocity Condition

  • 39:50

    Distance Traveled Calculation

  • 41:54

    Velocity Roots and Intervals

  • 44:03

    Setup Absolute Value Integrals

  • 48:21

    Integrate and Evaluate

  • 55:32

    Speed Increasing Decreasing Discussion

  • 57:12

    Positive Velocity Acceleration Scenario

  • 1:00:03

    Summary Speed Signs

  • 1:01:08

    Last Problem Acceleration at t=2

  • 1:02:09

    Speed Increasing or Decreasing

  • 1:04:52

    Closing Remarks and Next Stream

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Study Content & Tools

Study GuidesFRQs + AI ScoringAP Essay Grader for StudentsAI Grading for TeachersPractice QuestionsGlossaryScore Calculators

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

career kickstart

💼 ap business with personal finance🔒 ap cybersecurity

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.