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888

19 Feb 2023

2 pages

Fun with Distance-Time Graphs: Learn Speed and Velocity for Class 9 and GCSE

G

goodness

@gvvdness

Calculating speed using distance-time graphsis a key skill in... Show more

4.5.6.1.1 Distance and displacement
Content
Distance is fornect moves Distance does not involve
Displacement includes both the distance an o

Velocity and Acceleration

This section delves deeper into the concepts of velocity and acceleration.

Definition: Velocity is an object's speed in a given direction. It is a vector quantity.

Students should be able to explain the distinction between vector and scalar quantities as they apply to displacement, distance, velocity, and speed.

Example: An object moving in a circle has constant speed but changing velocity, as the direction is constantly changing.

The concept of acceleration is introduced:

Definition: Acceleration is the rate of change of velocity over time.

The equation for acceleration is:

a = Δv / t

where a is acceleration in meters per second squared m/s2m/s², Δv is change in velocity in meters per second m/sm/s, and t is time in seconds ss.

Highlight: An object that slows down is decelerating.

Students should be able to estimate the magnitude of everyday accelerations.

Velocity-Time Graphs and Further Calculations

This section covers the interpretation and use of velocity-time graphs.

The acceleration of an object can be calculated from the gradient of a velocity-time graph. The distance traveled ordisplacementor displacement can be calculated from the area under a velocity-time graph.

Students should be able to:

  1. Draw velocity-time graphs from measurements
  2. Interpret lines and slopes to determine acceleration
  3. Interpret enclosed areas in velocity-time graphs to determine distance traveled
  4. Measure the area under a velocity-time graph by counting squares when appropriate

An important equation for uniform acceleration is introduced:

v² - u² = 2as

where v is final velocity m/sm/s, u is initial velocity m/sm/s, a is acceleration m/s2m/s², and s is distance mm.

Highlight: Near Earth's surface, any object falling freely under gravity has an acceleration of about 9.8 m/s².

The concept of terminal velocity is briefly mentioned, where an object falling through a fluid eventually reaches a constant speed due to the balance of forces.

4.5.6.1.1 Distance and displacement
Content
Distance is fornect moves Distance does not involve
Displacement includes both the distance an o

Distance, Displacement, Speed and Velocity

This section introduces fundamental concepts in motion and kinematics.

Definition: Distance is how far an object moves, while displacement includes both distance and direction in a straight line.

Highlight: Speed is a scalar quantity magnitudeonlymagnitude only, while velocity is a vector quantity magnitudeanddirectionmagnitude and direction.

Students should be able to express displacement in terms of both distance and direction, and calculate ratios between them. The speed of a moving object is not always constant. Factors like terrain and age can affect how fast a person walks, runs or cycles.

Example: If you travel 5m north and then 5m south, your displacement is 0m but your total distance traveled is 10m.

Vocabulary: Scalar quantities have only magnitude, while vector quantities have both magnitude and direction.

Typical speeds for various modes of transportation are provided:

  • Walking: 1.5 m/s
  • Running: 3 m/s
  • Cycling: 6 m/s
  • Car: 25 m/s
  • Train: 30 m/s
  • Plane: 250 m/s

The speed of sound in air is typically around 330 m/s, but can vary based on atmospheric conditions.

Distance-Time Graphs and Speed Calculations

This section focuses on representing motion graphically and calculating speed.

Definition: A distance-time graph represents the distance traveled by an object over time.

The speed of an object can be calculated from the gradient of its distance-time graph. For non-uniform motion, students should be able to calculate average speed.

Highlight: For accelerating objects, instantaneous speed can be determined by drawing a tangent to the distance-time graph at a specific point and measuring its gradient.

Students should be able to:

  1. Draw distance-time graphs from measurements
  2. Interpret lines and slopes of distance-time graphs
  3. Translate information between graphical and numerical form
  4. Determine speed from a distance-time graph

The fundamental equation relating distance, speed, and time is:

distance = speed × time

or in symbolic form:

d = v × t

where d is distance in meters mm, v is speed in meters per second m/sm/s, and t is time in seconds ss.



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

 

Physics

888

19 Feb 2023

2 pages

Fun with Distance-Time Graphs: Learn Speed and Velocity for Class 9 and GCSE

G

goodness

@gvvdness

Calculating speed using distance-time graphs is a key skill in physics. This guide covers the difference between speed and velocity vector scalar quantities, as well as typical values for walking running cycling speeds. Distance, displacement, speed and velocity are... Show more

4.5.6.1.1 Distance and displacement
Content
Distance is fornect moves Distance does not involve
Displacement includes both the distance an o

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

Velocity and Acceleration

This section delves deeper into the concepts of velocity and acceleration.

Definition: Velocity is an object's speed in a given direction. It is a vector quantity.

Students should be able to explain the distinction between vector and scalar quantities as they apply to displacement, distance, velocity, and speed.

Example: An object moving in a circle has constant speed but changing velocity, as the direction is constantly changing.

The concept of acceleration is introduced:

Definition: Acceleration is the rate of change of velocity over time.

The equation for acceleration is:

a = Δv / t

where a is acceleration in meters per second squared m/s2m/s², Δv is change in velocity in meters per second m/sm/s, and t is time in seconds ss.

Highlight: An object that slows down is decelerating.

Students should be able to estimate the magnitude of everyday accelerations.

Velocity-Time Graphs and Further Calculations

This section covers the interpretation and use of velocity-time graphs.

The acceleration of an object can be calculated from the gradient of a velocity-time graph. The distance traveled ordisplacementor displacement can be calculated from the area under a velocity-time graph.

Students should be able to:

  1. Draw velocity-time graphs from measurements
  2. Interpret lines and slopes to determine acceleration
  3. Interpret enclosed areas in velocity-time graphs to determine distance traveled
  4. Measure the area under a velocity-time graph by counting squares when appropriate

An important equation for uniform acceleration is introduced:

v² - u² = 2as

where v is final velocity m/sm/s, u is initial velocity m/sm/s, a is acceleration m/s2m/s², and s is distance mm.

Highlight: Near Earth's surface, any object falling freely under gravity has an acceleration of about 9.8 m/s².

The concept of terminal velocity is briefly mentioned, where an object falling through a fluid eventually reaches a constant speed due to the balance of forces.

4.5.6.1.1 Distance and displacement
Content
Distance is fornect moves Distance does not involve
Displacement includes both the distance an o

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

Distance, Displacement, Speed and Velocity

This section introduces fundamental concepts in motion and kinematics.

Definition: Distance is how far an object moves, while displacement includes both distance and direction in a straight line.

Highlight: Speed is a scalar quantity magnitudeonlymagnitude only, while velocity is a vector quantity magnitudeanddirectionmagnitude and direction.

Students should be able to express displacement in terms of both distance and direction, and calculate ratios between them. The speed of a moving object is not always constant. Factors like terrain and age can affect how fast a person walks, runs or cycles.

Example: If you travel 5m north and then 5m south, your displacement is 0m but your total distance traveled is 10m.

Vocabulary: Scalar quantities have only magnitude, while vector quantities have both magnitude and direction.

Typical speeds for various modes of transportation are provided:

  • Walking: 1.5 m/s
  • Running: 3 m/s
  • Cycling: 6 m/s
  • Car: 25 m/s
  • Train: 30 m/s
  • Plane: 250 m/s

The speed of sound in air is typically around 330 m/s, but can vary based on atmospheric conditions.

Distance-Time Graphs and Speed Calculations

This section focuses on representing motion graphically and calculating speed.

Definition: A distance-time graph represents the distance traveled by an object over time.

The speed of an object can be calculated from the gradient of its distance-time graph. For non-uniform motion, students should be able to calculate average speed.

Highlight: For accelerating objects, instantaneous speed can be determined by drawing a tangent to the distance-time graph at a specific point and measuring its gradient.

Students should be able to:

  1. Draw distance-time graphs from measurements
  2. Interpret lines and slopes of distance-time graphs
  3. Translate information between graphical and numerical form
  4. Determine speed from a distance-time graph

The fundamental equation relating distance, speed, and time is:

distance = speed × time

or in symbolic form:

d = v × t

where d is distance in meters mm, v is speed in meters per second m/sm/s, and t is time in seconds ss.

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