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  3. AP Physics 1 - Deriving Equations: Projectiles & Kepler

ap physics 1 - deriving equations: projectiles & kepler

originally streamed in 2020 with Jacob JeffriesStudent
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Learn the step-by-step process for deriving key equations in AP Physics 1, from projectile motion to Kepler's third law. This video breaks down the mathematical foundations behind formulas you'll use on the AP exam, helping you understand where equat ...more

covered in this stream

units
Unit 1 – KinematicsUnit 2 – Force and Translational DynamicsUnit 6 – Rotating Systems: Energy & Momentum
topics
1.2 Displacement, Velocity, and Acceleration1.5 Vectors and Motion in Two Dimensions2.2 Forces and Free-Body Diagrams2.5 Newton's Second Law2.6 Gravitational Force2.7 Kinetic and Static Friction2.9 Circular Motion6.6 Motion of Orbiting Satellites

timestamps

  • 0:00

    Preface to Deriving Equations

  • 0:32

    Importance of First Principles

  • 1:03

    Conceptual Questions and Algebra

  • 2:06

    Memorizing vs Deriving Equations

  • 2:37

    Projectile Motion Setup

  • 3:39

    Kinematic Equations Application

  • 4:41

    Horizontal Motion Derivation

  • 5:43

    Velocity Components

  • 6:44

    Time Solving in Vertical

  • 9:16

    Range Equation Derivation

  • 10:55

    Final Range Expression

  • 11:28

    Maximum Height Derivation

  • 13:35

    Final Height Equation

  • 14:38

    Box on Incline Setup

  • 15:41

    Free Body Diagram

  • 17:14

    Friction Force Derivation

  • 18:48

    Acceleration Down Incline

  • 21:22

    Maximum Angle for Slip

  • 22:57

    Static Friction Case

  • 24:01

    Solving for Theta

  • 26:08

    Arctangent Identity

  • 30:46

    Pulley System Setup

  • 32:20

    Coordinate System Choice

  • 34:26

    Free Body Diagrams

  • 38:34

    Acceleration of System

  • 40:09

    Physical Implications

  • 43:46

    Kepler's Third Law Derivation

  • 46:23

    Centripetal Force Equation

  • 48:58

    Period and Radius Relation

  • 50:31

    Binary Star System Case

  • 54:08

    Mass Calculation Example

  • 57:47

    Stream Recap and Equations

  • 1:00:22

    Closing Remarks

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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

AP Exam Schedule 2027AP Exam AccommodationsAP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards

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.