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Free Response Question #4  AP Physics 1  2015 Exam Solutions
Flipping Physics posted a video in Exam Prep
Want Lecture Notes? Content Times: 0:10 The initial setup 1:07 Part (a) 2:19 Part (b) 3:06 Part (c) AP Physics 1 Review Videos Next Video: Free Response Question #5  AP Physics 1  2015 Exam Solutions Previous Video: Free Response Question #3  AP Physics 1  2015 Exam Solutions Multilingual? Please help translate Flipping Physics videos! 1¢/minute: http://www.flippingphysics.com/give.html AP® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. Link to The 2015 AP Physics 1 Free Response Questions
 velocity
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Video Discussion: Free Response Question #4  AP Physics 1  2015 Exam Solutions
Flipping Physics posted a topic in AP Physics 1/2
Name: Free Response Question #4  AP Physics 1  2015 Exam Solutions Category: Exam Prep Date Added: 20160407 Submitter: Flipping Physics Want Lecture Notes? Content Times: 0:10 The initial setup 1:07 Part (a) 2:19 Part (b) 3:06 Part (c) AP Physics 1 Review Videos Next Video: Free Response Question #5  AP Physics 1  2015 Exam Solutions Previous Video: Free Response Question #3  AP Physics 1  2015 Exam Solutions Multilingual? Please help translate Flipping Physics videos! 1¢/minute: http://www.flippingphysics.com/give.html AP® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. Link to The 2015 AP Physics 1 Free Response Questions Free Response Question #4  AP Physics 1  2015 Exam Solutions
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 free response question

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[font=verdana][size=4]One bullet is fired horizontally and simultaneously a second bullet is dropped from the same height. Neglecting air resistance and assuming the ground is level, which bullet hits the ground first? Content Times: 0:15 Reading the problem 0:53 Listing the known variables 1:59 Determining the answer 2:37 Demonstrating the answer 3:00 Isn't one moving faster? 3:52 The Review Want [url="http://www.flippingphysics.com/bullet.html"]Lecture Notes[/url]? [color=rgb(0,0,0)]Multilingual? Please help [url="http://www.flippingphysics.com/translate.html"]translate Flipping Physics videos[/url]![/color] [color=rgb(0,0,0)]Next Video: [/color]Demonstrating the [url="http://www.flippingphysics.com/componentsofprojectilemotion.html"]Components of Projectile Motion[/url] Previous Video: A [url="http://www.flippingphysics.com/rangeequationproblem.html"]Range Equation Problem[/url] with Two Parts [url="http://www.flippingphysics.com/give.html"]1Â¢/minute[/url][/size][/font]
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Mr.p throws a ball toward a bucket that is 581 cm away from him horizontally. He throws the ball at an initial angle of 55° above the horizontal and the ball is 34 cm short of the bucket. If mr.p throws the ball with the same initial speed and the ball is always released at the same height as the top of the bucket, at what angle does he need to throw the ball so it will land in the bucket? Content Times: 0:14 Reading the problem 1:01 Why we can use the Range Equation 2:15 Listing what we know for the first attempt 3:06 Solving for the initial speed 4:26 Solving for the initial angle 5:45 Putting the ball in the bucket 6:15 There are actually two correct answers 6:44 Getting the ball into the basket Want [url="http://www.flippingphysics.com/rangeequationproblem.html"]Lecture Notes[/url]? Next Video: The Classic [url="http://www.flippingphysics.com/bullet.html"]Bullet Projectile Motion[/url] Experiment Previous Video: [url="http://www.flippingphysics.com/derivingtherangeequation.html"]Deriving the Range Equation[/url] of Projectile Motion "Walk Away" by Bella Canzano from her EP "[url="http://bellacanzano.bandcamp.com/"]A Secret That You Know[/url]" Music used by permission of the artist. 1¢/minute: [url="http://www.flippingphysics.com/give.html"]http://www.flippingphysics.com/give.html[/url]

Video Discussion: The Classic Bullet Projectile Motion Experiment
Flipping Physics posted a topic in Video Discussions
Name: The Classic Bullet Projectile Motion Experiment Category: Kinematics Date Added: 20 June 2014  01:32 PM Submitter: Flipping Physics Short Description: None Provided One bullet is fired horizontally and simultaneously a second bullet is dropped from the same height. Neglecting air resistance and assuming the ground is level, which bullet hits the ground first? Content Times: 0:15 Reading the problem 0:53 Listing the known variables 1:59 Determining the answer 2:37 Demonstrating the answer 3:00 Isn't one moving faster? 3:52 The Review Want View Video
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Learn how to derive the Range of Projectile. The Horizontal Range of a Projectile is defined as the horizontal displacement of a projectile when the displacement of the projectile in the ydirection is zero. Content Times: 0:12 Defining Range 0:32 Resolving the initial velocity in to it's components 1:49 Listing our known values 2:49 Solving for range in terms of change in time 3:30 Solving for the change in time in the ydireciton 5:18 Combining two equations 6:03 The Sine Double Angle Formula 6:53 The Review Want [url="http://www.flippingphysics.com/derivingtherangeequation.html"]Lecture Notes[/url]? Next Video: A [url="http://www.flippingphysics.com/rangeequationproblem.html"]Range Equation Problem[/url] with Two Parts Previous Video: [url="http://www.flippingphysics.com/rangeequation.html"]Understanding the Range Equation[/url] of Projectile Motion [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]
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Video Discussion: A Range Equation Problem with Two Parts
Flipping Physics posted a topic in Video Discussions
Name: A Range Equation Problem with Two Parts Category: Kinematics Date Added: 19 June 2014  01:20 PM Submitter: Flipping Physics Short Description: None Provided Mr.p throws a ball toward a bucket that is 581 cm away from him horizontally. He throws the ball at an initial angle of 55° above the horizontal and the ball is 34 cm short of the bucket. If mr.p throws the ball with the same initial speed and the ball is always released at the same height as the top of the bucket, at what angle does he need to throw the ball so it will land in the bucket? Content Times: 0:14 Reading the problem 1:01 Why we can use the Range Equation 2:15 Listing what we know for the first attempt 3:06 Solving for the initial speed 4:26 Solving for the initial angle 5:45 Putting the ball in the bucket 6:15 There are actually two correct answers 6:44 Getting the ball into the basket Want View Video 
Video Discussion: Deriving the Range Equation of Projectile Motion
Flipping Physics posted a topic in Video Discussions
Name: Deriving the Range Equation of Projectile Motion Category: Kinematics Date Added: 16 June 2014  02:16 PM Submitter: Flipping Physics Short Description: None Provided Learn how to derive the Range of Projectile. The Horizontal Range of a Projectile is defined as the horizontal displacement of a projectile when the displacement of the projectile in the ydirection is zero. Content Times: 0:12 Defining Range 0:32 Resolving the initial velocity in to it's components 1:49 Listing our known values 2:49 Solving for range in terms of change in time 3:30 Solving for the change in time in the ydireciton 5:18 Combining two equations 6:03 The Sine Double Angle Formula 6:53 The Review Want View Video 1 reply

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The Horizontal Range of a Projectile is defined as the horizontal displacement of a projectile when the displacement of the projectile in the ydirection is zero. This video explains how to use the equation, why a launch angle of 45° gives the maximum range and why complimentary angles give the same range. Content Times: 0:16 Defining Range 0:50 How can the displacement in the ydirection be zero? 1:21 The variables in the equation 2:09 g is Positive! 3:05 How to get the maximum range 4:17 What dimensions to use in the equation 5:19 The shape of the sin(θ) graph 6:17 sin(2·30°) = sin(2·60°) 7:35 A graph of the Range of various Launch Angles 8:18 The Review Want [url="http://www.flippingphysics.com/rangeequation.html"]Lecture Notes[/url]? Next Video: [color=rgb(0,0,0)][font=Helvetica][size=3][url="http://www.flippingphysics.com/derivingtherangeequation.html"]Deriving the Range Equation[/url] of Projectile Motion[/size][/font][/color] Previous Video: [url="http://www.flippingphysics.com/anotherprojectilemotion.html"]NerdAPult #2[/url]  Another Projectile Motion Problem [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]

This time in our projectile motion problem, we know the displacement in the ydireciton and we are solving for the displacement in the xdireciton. We could you use the quadratic formula and I even show you how, however, I also show you the way I recommend doing it which avoids the quadratic formula. Content Times: 0:14 Reading the problem 0:55 Comparing the previous projectile motion problem to the current one 1:16 Breaking the initial velocity in to its components 1:44 Listing the givens 2:27 Beginning to solve the problem in the ydirection 3:08 The Quadratic Formula! 5:49 How to solve it without using the quadratic formula. Solve for Velocity Final in the ydirection first 6:59 And then solve for the change in time 8:12 Solving for the displacement in the xdirection 9:01 Showing that it works 9:43 The Review Want [url="http://www.flippingphysics.com/anotherprojectilemotion.html"]Lecture Notes[/url]? Next Video: Understanding the [url="http://www.flippingphysics.com/rangeequation.html"]Range Equation[/url] of Projectile Motion Previous Projectile Motion Problem: [url="http://www.flippingphysics.com/nerdapult.html"]NerdAPult[/url]  An Introductory Projectile Motion Problem Want a NerdAPult? You can purchase one at: [url="http://marshmallowcatapults.com"]http://marshmallowcatapults.com[/url] [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]

Video Discussion: Understanding the Range Equation of Projectile Motion
Flipping Physics posted a topic in Video Discussions
Name: Understanding the Range Equation of Projectile Motion Category: Kinematics Date Added: 10 June 2014  02:03 PM Submitter: Flipping Physics Short Description: None Provided The Horizontal Range of a Projectile is defined as the horizontal displacement of a projectile when the displacement of the projectile in the ydirection is zero. This video explains how to use the equation, why a launch angle of 45° gives the maximum range and why complimentary angles give the same range. Content Times: 0:16 Defining Range 0:50 How can the displacement in the ydirection be zero? 1:21 The variables in the equation 2:09 g is Positive! 3:05 How to get the maximum range 4:17 What dimensions to use in the equation 5:19 The shape of the sin(θ) graph 6:17 sin(2·30°) = sin(2·60°) 7:35 A graph of the Range of various Launch Angles 8:18 The Review Want View Video 
Video Discussion: NerdAPult #2  Another Projectile Motion Problem
Flipping Physics posted a topic in Video Discussions
Name: NerdAPult #2  Another Projectile Motion Problem Category: Kinematics Date Added: 03 June 2014  12:29 PM Submitter: Flipping Physics Short Description: None Provided This time in our projectile motion problem, we know the displacement in the ydireciton and we are solving for the displacement in the xdireciton. We could you use the quadratic formula and I even show you how, however, I also show you the way I recommend doing it which avoids the quadratic formula. Content Times: 0:14 Reading the problem 0:55 Comparing the previous projectile motion problem to the current one 1:16 Breaking the initial velocity in to its components 1:44 Listing the givens 2:27 Beginning to solve the problem in the ydirection 3:08 The Quadratic Formula! 5:49 How to solve it without using the quadratic formula. Solve for Velocity Final in the ydirection first 6:59 And then solve for the change in time 8:12 Solving for the displacement in the xdirection 9:01 Showing that it works 9:43 The Review Want View Video 
NerdAPult  An Introductory Projectile Motion Problem
Flipping Physics posted a video in Kinematics
An introductory projectile motion problem where you have to break the initial velocity vector in to its components before you can work with it. The NerdAPult is the perfect tool for showing projectile motion. Content Times: 0:02 Introducing the NerdAPult 0:43 Demonstrating the marshmallow capabilities of the NerdAPult 1:18 Reading the problem 2:26 Starting to solve the problem 3:03 What do we do with the initial velocity? 3:45 Solving for the initial velocity in the ydirection 4:27 Solving for the initial velocity in the xdirection 5:13 Deciding which direction to start working with 5:38 Solving for the change in time in the xdirection 6:34 Solving for the displacement in the ydirection 7:54 Proving that our answer is correct 8:58 The Review [url="http://www.flippingphysics.com/nerdapult.html"]Want Lecture Notes?[/url] Next Problem: [url="http://www.flippingphysics.com/measuringvi.html"]NerdAPult  Measuring Initial Velocity[/url] Previous Problem: [url="http://www.flippingphysics.com/projectilemotionproblempart1of2.html"]An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] Want a NerdAPult? You can purchase one at [url="http://marshmallowcatapults.com"]marshmallowcatapults.com[/url] [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]
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Video Discussion: NerdAPult  An Introductory Projectile Motion Problem
Flipping Physics posted a topic in Video Discussions
Name: NerdAPult  An Introductory Projectile Motion Problem Category: Kinematics Date Added: 23 May 2014  02:05 PM Submitter: Flipping Physics Short Description: None Provided An introductory projectile motion problem where you have to break the initial velocity vector in to its components before you can work with it. The NerdAPult is the perfect tool for showing projectile motion. Content Times: 0:02 Introducing the NerdAPult 0:43 Demonstrating the marshmallow capabilities of the NerdAPult 1:18 Reading the problem 2:26 Starting to solve the problem 3:03 What do we do with the initial velocity? 3:45 Solving for the initial velocity in the ydirection 4:27 Solving for the initial velocity in the xdirection 5:13 Deciding which direction to start working with 5:38 Solving for the change in time in the xdirection 6:34 Solving for the displacement in the ydirection 7:54 Proving that our answer is correct 8:58 The Review View Video
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A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)
Flipping Physics posted a video in Dynamics
This is how you include air resistance in projectile motion. It requires the Drag Force and Numerical Modeling (or the Euler Method). It is also very helpful to use a spreadsheet to do the calculations. I prove a statement from a previous projectile motion problem video, "Air resistance decreases the x displacement of the ball by less than 1 cm." Content Times: 0:22 The statement this video proves 1:01 The basic concept of air resistance 1:54 The Free Body Diagram 2:20 The Drag Force Equation 3:13 Information about the Lacrosse Ball 4:03 The Drag Coefficient 4:55 The Density of Air 5:18 How the Drag Force affects the motion 5:58 The basic idea of Numerical Modeling (or the Euler Method) 6:50 Solving for the acceleration in the x direction 8:53 Solving for the final velocity in the x direction 9:54 Solving for the final position in the x direction 11:41 Entering the Lacrosse Ball information into Excel 13:34 Solving for the Drag Force in x direction in Excel 14:29 Solving for the acceleration in the x direction in Excel 14:58 Solving for the final velocity and final position in the x direction in Excel 15:46 Solving for the acceleration in the y direction 17:21 Solving for all the variables in the y direction in Excel 19:13 Click and Drag Copy. Harnessing the Power of Excel! 19:43 Understanding the numbers in Excel 20:35 Solving for the decrease in the x displacement caused by the Drag Force [url="http://www.flippingphysics.com/theeulermethod.html"]Want lecture notes & the Excel File?[/url] (also contain's photo credits and links to website's shown in video) The original problem videos for this are: [url="http://www.flippingphysics.com/projectilemotionproblempart1of2.html"](part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] [url="http://www.flippingphysics.com/projectilemotionproblempart2of2.html"](part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] [url="http://www.flippingphysics.com/howmany.html"]How Many Attempts did it Really Take?[/url]  with live music from Amos Lee [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url] 
Video Discussion: A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)
Flipping Physics posted a topic in Video Discussions
Name: A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method) Category: Dynamics Date Added: 22 May 2014  05:01 PM Submitter: Flipping Physics Short Description: None Provided This is how you include air resistance in projectile motion. It requires the Drag Force and Numerical Modeling (or the Euler Method). It is also very helpful to use a spreadsheet to do the calculations. I prove a statement from a previous projectile motion problem video, "Air resistance decreases the x displacement of the ball by less than 1 cm." Content Times: 0:22 The statement this video proves 1:01 The basic concept of air resistance 1:54 The Free Body Diagram 2:20 The Drag Force Equation 3:13 Information about the Lacrosse Ball 4:03 The Drag Coefficient 4:55 The Density of Air 5:18 How the Drag Force affects the motion 5:58 The basic idea of Numerical Modeling (or the Euler Method) 6:50 Solving for the acceleration in the x direction 8:53 Solving for the final velocity in the x direction 9:54 Solving for the final position in the x direction 11:41 Entering the Lacrosse Ball information into Excel 13:34 Solving for the Drag Force in x direction in Excel 14:29 Solving for the acceleration in the x direction in Excel 14:58 Solving for the final velocity and final position in the x direction in Excel 15:46 Solving for the acceleration in the y direction 17:21 Solving for all the variables in the y direction in Excel 19:13 Click and Drag Copy. Harnessing the Power of Excel! 19:43 Understanding the numbers in Excel 20:35 Solving for the decrease in the x displacement caused by the Drag Force View Video 
(Part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Flipping Physics posted a video in Kinematics
Now that we have dropped the ball into the bucket, we can determine the final velocity of the ball right before it strikes the bucket. Don't forget that velocity is a vector and has both magnitude and direction. Yep, component vector review! Content Times: 0:34 Finding the final velocity in the y direction. 1:52 We need to find the hypotenuse! 2:28 Finding the final velocity in the x direction. 2:57 Finding the magnitude of the final velocity. 4:06 Finding the direction of the final velocity. 5:08 The number answer. 5:52 Visualizing the answer. 6:28 Why is the ball always right below mr.p's hand? 7:07 Doesn't the ball travel farther than mr.p's hand? 7:33 The Review. [url="http://www.flippingphysics.com/projectilemotionproblempart2of2.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/howmany.html"]How Many Attempts did it Really Take?[/url] [url="http://www.flippingphysics.com/theeulermethod.html"]A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)[/url] Previous Video: [url="http://www.flippingphysics.com/projectilemotionproblempart1of2.html"](part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url] 2 comments

 projectile
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Video Discussion: (Part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Flipping Physics posted a topic in Video Discussions
Name: (Part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity Category: Kinematics Date Added: 22 May 2014  04:57 PM Submitter: Flipping Physics Short Description: None Provided Now that we have dropped the ball into the bucket, we can determine the final velocity of the ball right before it strikes the bucket. Don't forget that velocity is a vector and has both magnitude and direction. Yep, component vector review! Content Times: 0:34 Finding the final velocity in the y direction. 1:52 We need to find the hypotenuse! 2:28 Finding the final velocity in the x direction. 2:57 Finding the magnitude of the final velocity. 4:06 Finding the direction of the final velocity. 5:08 The number answer. 5:52 Visualizing the answer. 6:28 Why is the ball always right below mr.p's hand? 7:07 Doesn't the ball travel farther than mr.p's hand? 7:33 The Review. View Video
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(Part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Flipping Physics posted a video in Kinematics
Can you drop a ball from a moving vehicle and get it to land in a bucket? You can using Physics! In this video we solve an introductory projectile motion problem involving an initial horizontal velocity and predict how far in front of the bucket to drop the ball. Content Times: 0:17 Reading the problem. 0:41 Visualizing the problem. 1:18 Translating the problem. 2:31 Converting from miles per hour to meters per second. 3:10 Two common mistakes about projectile motion givens. 4:29 Beginning to solve the problem. 5:13 Solving for the change in time in the ydirection. 6:22 Solving for the displacement in the xdirection. 7:29 Video proof that it works. 8:14 Air resistance? 9:09 In our next lesson... [url="http://www.flippingphysics.com/projectilemotionproblempart1of2.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/projectilemotionproblempart2of2.html"](part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] [url="http://www.flippingphysics.com/howmany.html"]How Many Attempts did it Really Take?[/url] [url="http://www.flippingphysics.com/theeulermethod.html"]A Brief Look at the Force of Drag using Numerical Modeling (or The Euler Method)[/url] Previous Video: [url="http://www.flippingphysics.com/projectilemotion.html"]Introduction to Projectile Motion[/url] [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url] 2 comments

 introductory
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Video Discussion: (Part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Flipping Physics posted a topic in Video Discussions
Name: (Part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity Category: Kinematics Date Added: 22 May 2014  04:49 PM Submitter: Flipping Physics Short Description: None Provided Can you drop a ball from a moving vehicle and get it to land in a bucket? You can using Physics! In this video we solve an introductory projectile motion problem involving an initial horizontal velocity and predict how far in front of the bucket to drop the ball. Content Times: 0:17 Reading the problem. 0:41 Visualizing the problem. 1:18 Translating the problem. 2:31 Converting from miles per hour to meters per second. 3:10 Two common mistakes about projectile motion givens. 4:29 Beginning to solve the problem. 5:13 Solving for the change in time in the ydirection. 6:22 Solving for the displacement in the xdirection. 7:29 Video proof that it works. 8:14 Air resistance? 9:09 In our next lesson... View Video
 introductory
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My strategy for solving any projectile motion problem. You need to split the variables in to the x and y directions and solve for time. Sounds simple and it really is, usually. Content Times: 0:11 Review of Linear Motion Examples 0:57 Introducing Projectile Motion! 1:48 Basic strategy for solving any projectile motion problem 2:06 The ydirection (UAM) 3:22 The xdirection (constant velocity) 4:36 How many knowns do you need in each direction? 5:41 What do we usually solve for? 6:12 The Review [url="http://www.flippingphysics.com/projectilemotion.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/projectilemotionproblempart1of2.html"](part 1 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity[/url] Previous Video: [url="http://www.flippingphysics.com/complicatedvectoraddition.html"]A Visually Complicated Vector Addition Problem using Component Vectors[/url] [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]

 Introduction
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Video Discussion: Introduction to Projectile Motion
Flipping Physics posted a topic in Video Discussions
Name: Introduction to Projectile Motion Category: Kinematics Date Added: 22 May 2014  04:44 PM Submitter: Flipping Physics Short Description: None Provided My strategy for solving any projectile motion problem. You need to split the variables in to the x and y directions and solve for time. Sounds simple and it really is, usually. Content Times: 0:11 Review of Linear Motion Examples 0:57 Introducing Projectile Motion! 1:48 Basic strategy for solving any projectile motion problem 2:06 The ydirection (UAM) 3:22 The xdirection (constant velocity) 4:36 How many knowns do you need in each direction? 5:41 What do we usually solve for? 6:12 The Review View Video
 Introduction
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