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Easy Equations of Motion and Fun Velocity Problems

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Theo Ormiston

11/13/2022

Physics

Higher Physics Kinematics

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Physics

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Kinematics and Introduction to Dynamics

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Representations of Motion

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Acceleration,Velocity,Motion

Easy Equations of Motion and Fun Velocity Problems

A comprehensive guide to equations of motion in kinematics and projectile motion, covering fundamental concepts of motion, acceleration, and velocity calculations.

  • Introduces key equations of motion including v=u+at, s=ut+½at², and v²=u²+2as
  • Explores projectile motion constant acceleration analysis with detailed coverage of vertical and horizontal components
  • Demonstrates calculating velocity and acceleration example problems through practical scenarios
  • Covers motion graphs interpretation and analysis for different scenarios
  • Details projectile motion at angles with trigonometric applications
...

11/13/2022

241

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 2: Advanced Equations of Motion

This page expands on kinematics equations, introducing the third equation of motion and providing practical examples of their application in real-world scenarios.

Definition: The third equation of motion v2=u2+2asv² = u² + 2as relates final velocity to initial velocity, acceleration, and displacement without requiring time.

Example: A detailed problem solving example shows a car accelerating from 20ms⁻¹ to 30ms⁻¹ with acceleration of 0.5ms⁻², calculating the distance traveled.

Highlight: The UVATS system Initialvelocity,Finalvelocity,Acceleration,Time,DisplacementInitial velocity, Final velocity, Acceleration, Time, Displacement is essential for solving kinematics problems - you need three quantities to find the other two.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 3: Introduction to Projectile Motion

This page introduces the concept of projectile motion and the effects of gravity on falling objects.

Definition: A projectile is an object moving through air under the influence of gravity alone, experiencing constant acceleration of 9.8ms⁻² downward.

Highlight: Horizontal motion maintains constant velocity while vertical motion experiences constant acceleration due to gravity.

Vocabulary:

  • Projectile: Object moving under gravity's influence
  • Constant acceleration: Unchanging rate of change in velocity
  • Gravity: Force causing 9.8ms⁻² acceleration downward
htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 4: Vertical Projectile Motion

This page focuses on the analysis of objects thrown vertically upward and their motion characteristics.

Example: A ball thrown upward at 25ms⁻¹ demonstrates the principles of deceleration during ascent and acceleration during descent.

Highlight: In vertical projectile motion, acceleration is always negative −9.8ms−2-9.8ms⁻², affecting both upward and downward motion.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 5: Horizontal Projectile Motion

This page examines the characteristics and calculations involved in horizontal projectile motion.

Definition: Horizontal projectile motion combines constant horizontal velocity with vertical acceleration due to gravity.

Highlight: The actual velocity at any point can be determined using vector addition of horizontal and vertical components.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 6: Projectiles at Angles

This page explores projectile motion when objects are launched at angles to the horizontal.

Definition: Angled projectile motion combines both horizontal and vertical components, creating a curved path.

Vocabulary:

  • SOH-CAH-TOA: Trigonometric relationships used in component analysis
  • Component vectors: Horizontal and vertical parts of velocity
htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 7: Force Components and Applications

This page concludes with practical applications of projectile motion and force components.

Example: A projectile fired at 45° with initial vertical velocity component of 30ms⁻¹ demonstrates maximum height calculation.

Highlight: Vector components can be calculated using trigonometric relationships:

  • Horizontal velocity = V cos θ
  • Vertical velocity = V sin θ
htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 7: Vector Components and Forces

This page examines vector resolution and force components in projectile motion.

Example: A projectile fired at 45° with initial vertical velocity of 30ms⁻¹ demonstrates maximum height calculations.

Definition: Vector components are the horizontal and vertical parts of a vector quantity.

Vocabulary: Component resolution involves breaking down vectors into horizontal VcosθVcosθ and vertical VsinθVsinθ components.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 8: Motion Graphs

This page presents various types of motion graphs and their interpretation.

Definition: Motion graphs show relationships between displacement, velocity, acceleration, and time.

Highlight: Different types of motion produce characteristic graph shapes that can be analyzed to understand motion behavior.

Vocabulary: Graph interpretation requires understanding of positive and negative directions in both horizontal and vertical motion.

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Subjects

Physics

Kinematics and Introduction to Dynamics

Representations of Motion

Acceleration,Velocity,Motion

 

Physics

•

241

•

Nov 13, 2022

•

9 pages

Easy Equations of Motion and Fun Velocity Problems

user profile picture

Theo Ormiston

@marsaeir_hccn

A comprehensive guide to equations of motion in kinematics and projectile motion, covering fundamental concepts of motion, acceleration, and velocity calculations.

  • Introduces key equations of motion including v=u+at, s=ut+½at², and v²=u²+2as
  • Explores projectile motion constant acceleration analysiswith detailed coverage... Show more

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Access to all documents

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Page 2: Advanced Equations of Motion

This page expands on kinematics equations, introducing the third equation of motion and providing practical examples of their application in real-world scenarios.

Definition: The third equation of motion v2=u2+2asv² = u² + 2as relates final velocity to initial velocity, acceleration, and displacement without requiring time.

Example: A detailed problem solving example shows a car accelerating from 20ms⁻¹ to 30ms⁻¹ with acceleration of 0.5ms⁻², calculating the distance traveled.

Highlight: The UVATS system Initialvelocity,Finalvelocity,Acceleration,Time,DisplacementInitial velocity, Final velocity, Acceleration, Time, Displacement is essential for solving kinematics problems - you need three quantities to find the other two.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Access to all documents

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Page 3: Introduction to Projectile Motion

This page introduces the concept of projectile motion and the effects of gravity on falling objects.

Definition: A projectile is an object moving through air under the influence of gravity alone, experiencing constant acceleration of 9.8ms⁻² downward.

Highlight: Horizontal motion maintains constant velocity while vertical motion experiences constant acceleration due to gravity.

Vocabulary:

  • Projectile: Object moving under gravity's influence
  • Constant acceleration: Unchanging rate of change in velocity
  • Gravity: Force causing 9.8ms⁻² acceleration downward
htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 4: Vertical Projectile Motion

This page focuses on the analysis of objects thrown vertically upward and their motion characteristics.

Example: A ball thrown upward at 25ms⁻¹ demonstrates the principles of deceleration during ascent and acceleration during descent.

Highlight: In vertical projectile motion, acceleration is always negative −9.8ms−2-9.8ms⁻², affecting both upward and downward motion.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 5: Horizontal Projectile Motion

This page examines the characteristics and calculations involved in horizontal projectile motion.

Definition: Horizontal projectile motion combines constant horizontal velocity with vertical acceleration due to gravity.

Highlight: The actual velocity at any point can be determined using vector addition of horizontal and vertical components.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 6: Projectiles at Angles

This page explores projectile motion when objects are launched at angles to the horizontal.

Definition: Angled projectile motion combines both horizontal and vertical components, creating a curved path.

Vocabulary:

  • SOH-CAH-TOA: Trigonometric relationships used in component analysis
  • Component vectors: Horizontal and vertical parts of velocity
htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 7: Force Components and Applications

This page concludes with practical applications of projectile motion and force components.

Example: A projectile fired at 45° with initial vertical velocity component of 30ms⁻¹ demonstrates maximum height calculation.

Highlight: Vector components can be calculated using trigonometric relationships:

  • Horizontal velocity = V cos θ
  • Vertical velocity = V sin θ
htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 7: Vector Components and Forces

This page examines vector resolution and force components in projectile motion.

Example: A projectile fired at 45° with initial vertical velocity of 30ms⁻¹ demonstrates maximum height calculations.

Definition: Vector components are the horizontal and vertical parts of a vector quantity.

Vocabulary: Component resolution involves breaking down vectors into horizontal VcosθVcosθ and vertical VsinθVsinθ components.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 8: Motion Graphs

This page presents various types of motion graphs and their interpretation.

Definition: Motion graphs show relationships between displacement, velocity, acceleration, and time.

Highlight: Different types of motion produce characteristic graph shapes that can be analyzed to understand motion behavior.

Vocabulary: Graph interpretation requires understanding of positive and negative directions in both horizontal and vertical motion.

htro Kinematics a deceleration is anegative acceleration mat of the time an object will b acelerating the dirchan of both acuskration and ve

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Page 1: Introduction to Kinematics

This page introduces fundamental concepts in kinematics and presents the first two equations of motion. The content focuses on understanding acceleration, velocity, and displacement calculations.

Definition: Deceleration is defined as negative acceleration, occurring when an object's velocity decreases over time.

Highlight: The first equation of motion v=u+atv = u + at is crucial for calculating final velocity when initial velocity, acceleration, and time are known.

Example: A car starting from rest accelerates at 8ms⁻² for 4 seconds, reaching a final velocity of 32ms⁻¹.

Vocabulary:

  • u: Initial velocity
  • v: Final velocity
  • a: Acceleration
  • t: Time
  • s: Displacement

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Paul T

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user