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9 Jul 2022

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4 pages

Fun with Projectile Motion: Easy Physics and Maths for Kids!

user profile picture

Jessie M

@studywithjessie

Projectile Motion in A-Level Physics: Key Concepts and Calculations

This... Show more

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

Advanced Projectile Motion Analysis

This page delves deeper into projectile motion for A-Level Physics, focusing on a projectile launched at a 45° angle with an initial velocity of 45 m/s.

The analysis begins by resolving the initial velocity into its horizontal and vertical components using trigonometry:

  • Vertical component: 45 sin27°27°
  • Horizontal component: 45 cos27°27°

Vocabulary: Resolving vectors means breaking them down into their horizontal and vertical components.

The page then applies SUVAT equations to calculate key parameters:

  1. Maximum height: Using v^2 = u^2 + 2as with v = 0 at the peak
  2. Time to reach maximum height: Using v = u + at
  3. Total time of flight: Doubling the time to reach maximum height due to symmetry
  4. Horizontal range: Using s = ut for the horizontal motion

Highlight: The trajectory is symmetrical, so the time to reach maximum height is half the total flight time.

The analysis concludes by noting that the angle of impact with the ground is equal to the launch angle due to the symmetry of the parabolic path.

Example: For a projectile launched at 45 m/s at 27°, the maximum height is 21.3 m, the time of flight is 4.17 s, and the range is 167 m.

This page reinforces the importance of vector resolution and symmetry in solving A-Level Physics projectile motion questions.

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

Projectile Motion Practice Problems

This page provides worked examples of projectile motion problems typical in A-Level Physics exams.

The first problem involves a projectile launched at 20 m/s at a 30° angle. The solution demonstrates the step-by-step process:

  1. Resolve the initial velocity into components: Vertical: 20 sin30°30° = 10 m/s Horizontal: 20 cos30°30° = 17.3 m/s
  2. Identify acceleration components: Horizontal: 0 m/s^2 noaccelerationno acceleration Vertical: -9.8 m/s^2 gravitygravity
  3. Calculate time to reach maximum height using v = u + at
  4. Determine total flight time by doubling the time to max height
  5. Calculate horizontal range using s = ut for the total flight time
  6. Find maximum height using v^2 = u^2 + 2as with v = 0 at the peak

Example: For the 20 m/s projectile at 30°, the range is 35 m and the maximum height is 5.10 m.

This page emphasizes the systematic approach needed to solve projectile motion A-Level Physics questions, reinforcing the application of SUVAT equations and vector resolution.

Highlight: Breaking down the problem into vertical and horizontal components simplifies the calculations and allows for the use of basic kinematic equations.

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

Complex Projectile Motion Scenarios

This final page presents a more complex projectile motion problem typical of advanced A-Level Physics questions.

The scenario involves a ball thrown horizontally at 5 m/s from a window 4 m above the ground. The problem asks for:

  1. Time to reach the ground
  2. Distance from the building at landing
  3. Speed and angle just before impact

The solution demonstrates how to approach multi-part projectile problems:

  1. Analyze vertical motion using s = ut + 1/2 at^2 to find time of flight
  2. Use the time of flight to calculate horizontal distance with s = ut
  3. Determine final vertical velocity with v = u + at
  4. Calculate final speed using Pythagoras' theorem
  5. Find the angle of impact using trigonometry

Example: For the ball thrown at 5 m/s from 4 m high, it takes 0.904 s to hit the ground, lands 4.52 m from the building, and hits at a speed of 9.45 m/s at an angle of 61.3° to the horizontal.

This page reinforces the integration of various projectile motion formulas and concepts to solve complex problems, preparing students for challenging A-Level Physics mechanics questions.

Highlight: Even complex projectile motion problems can be solved by breaking them down into simpler vertical and horizontal components and applying basic kinematic equations.

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

Projectile Motion Basics

This page introduces fundamental concepts of projectile motion in A-Level Physics.

The key principle is that the horizontal and vertical components of motion can be analyzed separately. For a projectile launched at an angle, the vertical motion is affected by gravity while the horizontal motion remains constant.

Definition: Projectile motion is the curved path of an object launched or thrown near the Earth's surface, moving solely under the influence of gravity.

The page demonstrates how to break down the motion into vertical and horizontal components using trigonometry. It then applies SUVAT equations to calculate various parameters like time of flight, maximum height, and range.

Example: A ball launched at 35 m/s at a 20° angle is analyzed. The vertical motion uses equations like s = ut + 1/2 at^2 to find the time of flight 2.02s2.02 s. The horizontal distance is then calculated as D = 2.02 x 35 cos20°20° = 70.71 m.

Highlight: The time taken for the vertical motion upanddownup and down equals the time for horizontal motion, a key concept in projectile motion problems.

The page concludes by calculating the final velocity vector 40.2m/sat29.5°belowhorizontal40.2 m/s at 29.5° below horizontal using Pythagoras' theorem and trigonometry.



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4.9/5

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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

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

Subjects

Maths

Mechanics

Kinematics

 

Maths

•

401

•

9 Jul 2022

•

4 pages

Fun with Projectile Motion: Easy Physics and Maths for Kids!

user profile picture

Jessie M

@studywithjessie

Projectile Motion in A-Level Physics: Key Concepts and Calculations

This guide covers essential concepts of projectile motion for A-Level Physics students, including:

  • Equations of motion for projectiles
  • Resolving vectors into horizontal and vertical components
  • Calculating maximum height, range, and time... Show more

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

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

Advanced Projectile Motion Analysis

This page delves deeper into projectile motion for A-Level Physics, focusing on a projectile launched at a 45° angle with an initial velocity of 45 m/s.

The analysis begins by resolving the initial velocity into its horizontal and vertical components using trigonometry:

  • Vertical component: 45 sin27°27°
  • Horizontal component: 45 cos27°27°

Vocabulary: Resolving vectors means breaking them down into their horizontal and vertical components.

The page then applies SUVAT equations to calculate key parameters:

  1. Maximum height: Using v^2 = u^2 + 2as with v = 0 at the peak
  2. Time to reach maximum height: Using v = u + at
  3. Total time of flight: Doubling the time to reach maximum height due to symmetry
  4. Horizontal range: Using s = ut for the horizontal motion

Highlight: The trajectory is symmetrical, so the time to reach maximum height is half the total flight time.

The analysis concludes by noting that the angle of impact with the ground is equal to the launch angle due to the symmetry of the parabolic path.

Example: For a projectile launched at 45 m/s at 27°, the maximum height is 21.3 m, the time of flight is 4.17 s, and the range is 167 m.

This page reinforces the importance of vector resolution and symmetry in solving A-Level Physics projectile motion questions.

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

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

Projectile Motion Practice Problems

This page provides worked examples of projectile motion problems typical in A-Level Physics exams.

The first problem involves a projectile launched at 20 m/s at a 30° angle. The solution demonstrates the step-by-step process:

  1. Resolve the initial velocity into components: Vertical: 20 sin30°30° = 10 m/s Horizontal: 20 cos30°30° = 17.3 m/s
  2. Identify acceleration components: Horizontal: 0 m/s^2 noaccelerationno acceleration Vertical: -9.8 m/s^2 gravitygravity
  3. Calculate time to reach maximum height using v = u + at
  4. Determine total flight time by doubling the time to max height
  5. Calculate horizontal range using s = ut for the total flight time
  6. Find maximum height using v^2 = u^2 + 2as with v = 0 at the peak

Example: For the 20 m/s projectile at 30°, the range is 35 m and the maximum height is 5.10 m.

This page emphasizes the systematic approach needed to solve projectile motion A-Level Physics questions, reinforcing the application of SUVAT equations and vector resolution.

Highlight: Breaking down the problem into vertical and horizontal components simplifies the calculations and allows for the use of basic kinematic equations.

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

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

Complex Projectile Motion Scenarios

This final page presents a more complex projectile motion problem typical of advanced A-Level Physics questions.

The scenario involves a ball thrown horizontally at 5 m/s from a window 4 m above the ground. The problem asks for:

  1. Time to reach the ground
  2. Distance from the building at landing
  3. Speed and angle just before impact

The solution demonstrates how to approach multi-part projectile problems:

  1. Analyze vertical motion using s = ut + 1/2 at^2 to find time of flight
  2. Use the time of flight to calculate horizontal distance with s = ut
  3. Determine final vertical velocity with v = u + at
  4. Calculate final speed using Pythagoras' theorem
  5. Find the angle of impact using trigonometry

Example: For the ball thrown at 5 m/s from 4 m high, it takes 0.904 s to hit the ground, lands 4.52 m from the building, and hits at a speed of 9.45 m/s at an angle of 61.3° to the horizontal.

This page reinforces the integration of various projectile motion formulas and concepts to solve complex problems, preparing students for challenging A-Level Physics mechanics questions.

Highlight: Even complex projectile motion problems can be solved by breaking them down into simpler vertical and horizontal components and applying basic kinematic equations.

Projectile motion If you were to shoot a ball upwards with the vertical component. relocity as a projectile then they'll hit the ground at t

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

Projectile Motion Basics

This page introduces fundamental concepts of projectile motion in A-Level Physics.

The key principle is that the horizontal and vertical components of motion can be analyzed separately. For a projectile launched at an angle, the vertical motion is affected by gravity while the horizontal motion remains constant.

Definition: Projectile motion is the curved path of an object launched or thrown near the Earth's surface, moving solely under the influence of gravity.

The page demonstrates how to break down the motion into vertical and horizontal components using trigonometry. It then applies SUVAT equations to calculate various parameters like time of flight, maximum height, and range.

Example: A ball launched at 35 m/s at a 20° angle is analyzed. The vertical motion uses equations like s = ut + 1/2 at^2 to find the time of flight 2.02s2.02 s. The horizontal distance is then calculated as D = 2.02 x 35 cos20°20° = 70.71 m.

Highlight: The time taken for the vertical motion upanddownup and down equals the time for horizontal motion, a key concept in projectile motion problems.

The page concludes by calculating the final velocity vector 40.2m/sat29.5°belowhorizontal40.2 m/s at 29.5° below horizontal using Pythagoras' theorem and trigonometry.

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