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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

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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ยฉ 2026 Fiveable Inc. All rights reserved.
APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

every AP exam is fiveable

Fiveable
Study Content & Tools
Study GuidesFRQs + AI ScoringAI Grading for TeachersPractice QuestionsGlossaryScore Calculators
Company
What's New?PricingBulk DiscountsTestimonialsFAQsEmail us
Resources
AP Exam Schedule 2026AP ClassesAP ClassroomEasiest AP ClassesHardest AP ClassesAP vs IBAP vs Dual EnrollmentAP vs Honors ClassesAP Scholar Awards
history
๐ŸŒŽ ap world history๐Ÿ‡บ๐Ÿ‡ธ ap us history๐Ÿ‡ช๐Ÿ‡บ ap european history
social science
โœŠ๐Ÿฟ ap african american studies๐Ÿ—ณ๏ธ ap comparative government๐Ÿšœ ap human geography๐Ÿ’ถ ap macroeconomics๐Ÿค‘ ap microeconomics๐Ÿง  ap psychology๐Ÿ‘ฉ๐Ÿพโ€โš–๏ธ ap us government
english & capstone
โœ๐Ÿฝ ap english language๐Ÿ“š ap english literature๐Ÿ” ap research๐Ÿ’ฌ ap seminar
arts
๐ŸŽจ ap art & design๐Ÿ–ผ๏ธ ap art history๐ŸŽต ap music theory
science
๐Ÿงฌ ap biology๐Ÿงช ap chemistryโ™ป๏ธ ap environmental science๐ŸŽก ap physics 1๐Ÿงฒ ap physics 2๐Ÿ’ก ap physics c: e&mโš™๏ธ ap physics c: mechanics
math & computer science
๐Ÿงฎ ap calculus abโ™พ๏ธ ap calculus bc๐Ÿ“Š ap statistics๐Ÿ’ป ap computer science aโŒจ๏ธ ap computer science p
world languages
๐Ÿ‡จ๐Ÿ‡ณ ap chinese๐Ÿ‡ซ๐Ÿ‡ท ap french๐Ÿ‡ฉ๐Ÿ‡ช ap german๐Ÿ‡ฎ๐Ÿ‡น ap italian๐Ÿ‡ฏ๐Ÿ‡ต ap japanese๐Ÿ›๏ธ ap latin๐Ÿ‡ช๐Ÿ‡ธ ap spanish language๐Ÿ’ƒ๐Ÿฝ ap spanish literature

go beyond AP

high school exams
โœ๏ธ PSAT๐ŸŽ“ Digital SAT๐ŸŽ’ ACT
honors classes
๐Ÿฌ honors algebra II๐Ÿซ€ honors anatomy๐Ÿ‡ honors biology๐Ÿ‘ฉ๐Ÿฝโ€๐Ÿ”ฌ honors chemistry๐Ÿ’ฒ honors economics๐Ÿ“ honors geometryโšพ๏ธ honors physics๐Ÿ“ honors pre-calculus๐Ÿ“Š honors statistics๐Ÿ—ณ๏ธ honors us government๐Ÿ‡บ๐Ÿ‡ธ honors us history๐ŸŒŽ honors world history
college classes
๐Ÿ‘ฉ๐Ÿฝโ€๐ŸŽค arts๐Ÿ‘” business๐ŸŽค communications๐Ÿ—๏ธ engineering๐Ÿ““ humanitiesโž— math๐Ÿง‘๐Ÿฝโ€๐Ÿ”ฌ science๐Ÿ’ถ social science
hs classes
๐Ÿ›๏ธ alabama historyโ›ฐ๏ธ appalachian studies๐ŸŒด california history๐ŸŒ earth science๐ŸŒ ethnic studies๐ŸŠ florida history๐Ÿ‘ georgia history๐ŸŒŽ global studies๐ŸŒบ hawaiian studies๐Ÿ“ฐ journalism๐Ÿชถ native american studies๐ŸŒต new mexico history๐Ÿค  oklahoma historyโš—๏ธ physical science๐ŸŽ™๏ธ speech and debate๐Ÿค texas government๐Ÿค  texas history๐ŸŒฒ washington state history๐Ÿ•Š๏ธ world religions
RefundsTermsPrivacyCCPA
ยฉ 2026 Fiveable Inc. All rights reserved.
APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.