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190

6 Dec 2022

11 pages

Understanding Distance, Displacement, Speed, and Velocity for Physics Class 8-11

user profile picture

✨Zara✨

@zara_miah19

The physics of motion explores key concepts like distance, displacement,... Show more

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

Vector Representation and Addition

This page delves deeper into the representation and addition of vectors, as well as introducing distance-time graphs.

Vectors are visually represented as arrows:

Highlight: The length of the arrow represents the magnitude sizesize of a quantity, while the direction of the arrow represents the direction of the vector quantity.

The page explains vector addition with a simple diagram and formula: R = A + B.

An interesting comparison is made between speed and velocity:

Example: If two people stand back-to-back and walk away from each other at the same speed but in opposite directions, their speeds are the same, but one will have positive velocity and the other will have negative velocity.

The page then transitions to discussing distance-time graphs:

  • Time is plotted on the x-axis
  • Distance is plotted on the y-axis
  • A horizontal line indicates the object is stationary
  • The slope gradientgradient of the graph represents speed

Highlight: An object's speed is shown by the gradient slopeslope of the distance-time graph.

The page concludes by explaining how changes in speed are reflected in distance-time graphs:

  • Increasing speed results in a steeper slope
  • Decreasing speed results in a less steep slope
  • A horizontal line indicates the object has become stationary
Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

Speed-Time and Velocity-Time Graphs

This page focuses on speed-time graphs and velocity-time graphs, essential tools for analyzing motion in physics.

Speed-time graphs alsoknownasvelocitytimegraphsalso known as velocity-time graphs have the following characteristics:

  • Time is plotted on the x-axis
  • Speed orvelocityor velocity is plotted on the y-axis
  • A horizontal line indicates constant speed
  • The gradient of the graph represents acceleration

Highlight: If an object's speed is constant, then the speed-time graph will be horizontal. If the object is not moving isatrestis at rest, the graph will run along the x-axis because that is where y=0.

The page explains that acceleration determines the change in speed:

  • A positive gradient indicates increasing speed
  • A negative gradient indicates decreasing speed decelerationdeceleration

An important concept introduced is the area under a velocity-time graph:

Definition: The area under a velocity-time graph is equal to the distance travelled by an object.

To calculate this area, the graph can be broken down into smaller shapes:

  • Area of a rectangle = base × height
  • Area of a triangle = 0.5 × base × height

The page concludes by mentioning average speed:

Definition: The average speed is the total distance travelled divided by the total time taken.

It's noted that speed can be measured using light gates in experimental setups.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

Measuring Speed and Acceleration

This page focuses on practical methods for measuring speed and acceleration, particularly using light gates in experiments.

Light gates are used to measure speed:

Example: A trolley with a card attached is rolled down a ramp. The light gate records how long it takes for the card to pass through, allowing for speed calculation.

The equation for speed using light gate measurements is introduced:

Vocabulary: v = l / t, where v is speed, l is the length of the card, and t is the time taken to pass through the gate.

The page then presents the general equation for average speed:

Definition: Average Speed = Total Distance / Total Time

An example problem is given:

Example: Usain Bolt broke a world record when he ran 100m in 9.58 seconds. His average speed was calculated as 100 / 9.58 = 10.4 m/s.

The concept of uniform acceleration is introduced, along with several equations:

  1. v² - u² = 2as
  2. s = ut + ½at²
  3. v = u + at

Where:

  • v is final velocity
  • u is initial velocity
  • a is acceleration
  • s is displacement
  • t is time

Highlight: These equations relate velocity, distance, acceleration, and time for uniformly accelerated motion.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

Uniform Acceleration Problem

This page presents a problem involving uniform acceleration:

Example: A ball rolling down a hill accelerates uniformly from rest to a velocity of 5 m/s in 10 seconds.

The problem likely continues on the next page, demonstrating how to apply the equations of motion to solve real-world physics questions.

This example illustrates the practical application of the concepts and equations introduced in the previous pages, reinforcing the importance of understanding uniform acceleration in physics.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

Scalar and Vector Quantities in Physics

This page introduces the fundamental concepts of scalar and vector quantities in physics, with a focus on distance and displacement.

Distance is defined as a scalar quantity that measures how far an object moves. It only has magnitude and no direction. In contrast, displacement is a vector quantity that describes both the magnitude and direction of an object's change in position.

Definition: A scalar quantity has only magnitude, while a vector quantity has both magnitude and direction.

The page also touches on the difference between speed and velocity:

Highlight: Velocity describes an object's direction as well as its speed, making it a vector quantity. Speed, on the other hand, is a scalar quantity.

Examples of vector quantities include acceleration, force, velocity, and displacement. Scalar quantities include distance and speed.

Example: If an object moves in a straight line from a starting point to a finishing point, the displacement is a vector quantity representing this change in position.

The page concludes by emphasizing that scalar quantities only have magnitude, while vector quantities have both magnitude and direction.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si
Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si
Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si
Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si
Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si


Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

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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

 

Chemistry

190

6 Dec 2022

11 pages

Understanding Distance, Displacement, Speed, and Velocity for Physics Class 8-11

user profile picture

✨Zara✨

@zara_miah19

The physics of motion explores key concepts like distance, displacement, speed, and velocity. This summary covers the fundamental differences between scalar and vector quantities, explains distance-time and velocity-time graphs, and examines uniform acceleration.

Distance vs Displacement: Distance is... Show more

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Vector Representation and Addition

This page delves deeper into the representation and addition of vectors, as well as introducing distance-time graphs.

Vectors are visually represented as arrows:

Highlight: The length of the arrow represents the magnitude sizesize of a quantity, while the direction of the arrow represents the direction of the vector quantity.

The page explains vector addition with a simple diagram and formula: R = A + B.

An interesting comparison is made between speed and velocity:

Example: If two people stand back-to-back and walk away from each other at the same speed but in opposite directions, their speeds are the same, but one will have positive velocity and the other will have negative velocity.

The page then transitions to discussing distance-time graphs:

  • Time is plotted on the x-axis
  • Distance is plotted on the y-axis
  • A horizontal line indicates the object is stationary
  • The slope gradientgradient of the graph represents speed

Highlight: An object's speed is shown by the gradient slopeslope of the distance-time graph.

The page concludes by explaining how changes in speed are reflected in distance-time graphs:

  • Increasing speed results in a steeper slope
  • Decreasing speed results in a less steep slope
  • A horizontal line indicates the object has become stationary
Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Speed-Time and Velocity-Time Graphs

This page focuses on speed-time graphs and velocity-time graphs, essential tools for analyzing motion in physics.

Speed-time graphs alsoknownasvelocitytimegraphsalso known as velocity-time graphs have the following characteristics:

  • Time is plotted on the x-axis
  • Speed orvelocityor velocity is plotted on the y-axis
  • A horizontal line indicates constant speed
  • The gradient of the graph represents acceleration

Highlight: If an object's speed is constant, then the speed-time graph will be horizontal. If the object is not moving isatrestis at rest, the graph will run along the x-axis because that is where y=0.

The page explains that acceleration determines the change in speed:

  • A positive gradient indicates increasing speed
  • A negative gradient indicates decreasing speed decelerationdeceleration

An important concept introduced is the area under a velocity-time graph:

Definition: The area under a velocity-time graph is equal to the distance travelled by an object.

To calculate this area, the graph can be broken down into smaller shapes:

  • Area of a rectangle = base × height
  • Area of a triangle = 0.5 × base × height

The page concludes by mentioning average speed:

Definition: The average speed is the total distance travelled divided by the total time taken.

It's noted that speed can be measured using light gates in experimental setups.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Measuring Speed and Acceleration

This page focuses on practical methods for measuring speed and acceleration, particularly using light gates in experiments.

Light gates are used to measure speed:

Example: A trolley with a card attached is rolled down a ramp. The light gate records how long it takes for the card to pass through, allowing for speed calculation.

The equation for speed using light gate measurements is introduced:

Vocabulary: v = l / t, where v is speed, l is the length of the card, and t is the time taken to pass through the gate.

The page then presents the general equation for average speed:

Definition: Average Speed = Total Distance / Total Time

An example problem is given:

Example: Usain Bolt broke a world record when he ran 100m in 9.58 seconds. His average speed was calculated as 100 / 9.58 = 10.4 m/s.

The concept of uniform acceleration is introduced, along with several equations:

  1. v² - u² = 2as
  2. s = ut + ½at²
  3. v = u + at

Where:

  • v is final velocity
  • u is initial velocity
  • a is acceleration
  • s is displacement
  • t is time

Highlight: These equations relate velocity, distance, acceleration, and time for uniformly accelerated motion.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Uniform Acceleration Problem

This page presents a problem involving uniform acceleration:

Example: A ball rolling down a hill accelerates uniformly from rest to a velocity of 5 m/s in 10 seconds.

The problem likely continues on the next page, demonstrating how to apply the equations of motion to solve real-world physics questions.

This example illustrates the practical application of the concepts and equations introduced in the previous pages, reinforcing the importance of understanding uniform acceleration in physics.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Scalar and Vector Quantities in Physics

This page introduces the fundamental concepts of scalar and vector quantities in physics, with a focus on distance and displacement.

Distance is defined as a scalar quantity that measures how far an object moves. It only has magnitude and no direction. In contrast, displacement is a vector quantity that describes both the magnitude and direction of an object's change in position.

Definition: A scalar quantity has only magnitude, while a vector quantity has both magnitude and direction.

The page also touches on the difference between speed and velocity:

Highlight: Velocity describes an object's direction as well as its speed, making it a vector quantity. Speed, on the other hand, is a scalar quantity.

Examples of vector quantities include acceleration, force, velocity, and displacement. Scalar quantities include distance and speed.

Example: If an object moves in a straight line from a starting point to a finishing point, the displacement is a vector quantity representing this change in position.

The page concludes by emphasizing that scalar quantities only have magnitude, while vector quantities have both magnitude and direction.

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

Scalar 3 Vector
Distance vs Displacement.
They are slightly different.
A vector quantity
Motion + Forces
Physics
It contains a magnitude (si

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

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