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241
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13 Nov 2022
•
Easy Equations of Motion and Fun Velocity Problems
Theo Ormiston
@marsaeir_hccn
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 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 is essential for solving kinematics problems - you need three quantities to find the other two.
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
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 , affecting both upward and downward motion.
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.
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
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
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 and vertical components.
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.
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 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
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
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
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
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
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
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
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Easy Equations of Motion and Fun Velocity Problems
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
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 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 is essential for solving kinematics problems - you need three quantities to find the other two.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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 , affecting both upward and downward motion.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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 and vertical components.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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 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
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
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
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
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
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
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
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user