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Name: Introductory Vector Addition Problem using Component Vectors Category: Kinematics Date Added: 22 May 2014  04:40 PM Submitter: Flipping Physics Short Description: None Provided A simple, introductory vector addition problem that combines the concepts of vectors, cardinal directions, tiptotail vector addition and component vectors. Content Times: 0:14 Reading and understanding the problem. 1:25 Drawing the Vector Diagram. 2:28 A common mistake about where to place the arrowhead on the Resultant Vector. 3:39 This is NOT a Vector Diagram! 4:34 How NOT to solve the problem. 5:12 Breaking vector B in to its component in the y direction. 6:02 Breaking vector B in to its component in the x direction. 6:52 Redrawing the Vector Diagram using the components of vector B. 7:30 Finding the direction of our Resultant Vector. 8:35 Finding the magnitude of our Resultant Vector. 9:47 Summarizing the entire problem in 27 seconds. 10:19 The review. View Video

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This is a very basic introductory to TiptoTail Vector Addition Problem using a motorized toy car that I made. I don't just talk about it in a general sense, I actually show the different vectors being added together. Content Times: 0:16 Problem introduction 0:36 Determining the velocity of the track 1:43 Defining our givens 3:08 Visual representation of our vectors 3:56 Slow Velocity Racer on the track 4:20 Drawing the resultant vector 5:03 Mathematically finding the magnitude of the resultant velocity vector 6:28 Mathematically finding the direction of the resultant velocity vector 8:45 Summarizing and understanding our results 9:20 49 + 42 = 65? 10:57 The Review [url="http://www.flippingphysics.com/tiptotailvectoraddition.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/cardinaldirections.html"]How to use Cardinal Directions with Vectors[/url] Previous Video: [url="http://www.flippingphysics.com/vectorsandscalars.html"]Introduction to TiptoTail Vector Addition, Vectors and Scalars[/url] [url="http://www.flippingphysics.com/give.html"]1¢/minute[/url]
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Name: Introductory TiptoTail Vector Addition Problem Category: Kinematics Date Added: 22 May 2014  04:36 PM Submitter: Flipping Physics Short Description: None Provided This is a very basic introductory to TiptoTail Vector Addition Problem using a motorized toy car that I made. I don't just talk about it in a general sense, I actually show the different vectors being added together. Content Times: 0:16 Problem introduction 0:36 Determining the velocity of the track 1:43 Defining our givens 3:08 Visual representation of our vectors 3:56 Slow Velocity Racer on the track 4:20 Drawing the resultant vector 5:03 Mathematically finding the magnitude of the resultant velocity vector 6:28 Mathematically finding the direction of the resultant velocity vector 8:45 Summarizing and understanding our results 9:20 49 + 42 = 65? 10:57 The Review View Video

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Yes, there are mistakes that many people make when it comes to freefall acceleration problems. I dispel many misconceptions and explain both why people think they are true and why they actually aren't. Oh, and there are some special effects too! Content Times: 0:14 Review of the Basics of FreeFall 1:04 1st Misconception  The acceleration on the way up is positive 2:09 2nd Misconception  The initial velocity going upward is zero 2:45 3rd Misconception  A thrown ball will accelerate faster than a dropped ball 4:00 Reminder  Velocity at the top is zero 4:29 4th Misconception  The acceleration at the top is zero 6:36 Review [url="http://www.flippingphysics.com/commonfreefallpitfalls.html"]Want Lecture Notes?[/url] Previous Video: [url="http://www.flippingphysics.com/stopmotionphotography.html"]Creating a Position vs. Time Graph using Stop Motion Photography[/url] Next Video: [url="http://www.flippingphysics.com/freefallproblem.html"]A FreeFall Problem That You Must Split Into Two Parts[/url]

Name: Common FreeFall Pitfalls Category: Kinematics Date Added: 22 May 2014  04:32 PM Submitter: Flipping Physics Short Description: None Provided Yes, there are mistakes that many people make when it comes to freefall acceleration problems. I dispel many misconceptions and explain both why people think they are true and why they actually aren't. Oh, and there are some special effects too! Content Times: 0:14 Review of the Basics of FreeFall 1:04 1st Misconception  The acceleration on the way up is positive 2:09 2nd Misconception  The initial velocity going upward is zero 2:45 3rd Misconception  A thrown ball will accelerate faster than a dropped ball 4:00 Reminder  Velocity at the top is zero 4:29 4th Misconception  The acceleration at the top is zero 6:36 Review View Video

An advanced freefall acceleration problem involving 2 parts and 2 objects. Problem: You are wearing your rocket pack (total mass = 75 kg) that accelerates you upward at a constant 10.5 m/s^2. While preparing to take pictures of the beautiful view, you drop your camera 5.0 seconds after liftoff. 5.0 seconds after you drop the camera, (a) what is the camera's velocity and (b) how far are you from the camera? Content Times: 0:17 Reading the problem 1:26 Understanding the problem using a picture 2:10 Listing every known variable 3:22 Which part do we start solving first? 3:47 What do we solve for in part 1? 4:46 That's a lot of subscripts, why? 5:24 Starting to solve the problem. Finding the final velocity for part 1. 6:32 Solving for the final velocity for part 2 for the camera 7:46 Why is the final velocity for part 2 for the camera positive? 9:10 Finding the displacement for part 2 for the camera 9:55 Finding the displacement for part 2 for you 10:42 Finding the distance between you and the camera at the very end 11:27 The Review [url="http://www.flippingphysics.com/dontdropyourcamera.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/vectorsandscalars.html"]Introduction to TiptoTail Vector Addition, Vectors and Scalars[/url] Previous Video: [url="http://www.flippingphysics.com/droppingdictionaries.html"]Dropping Dictionaries Doesn't Defy Gravity, Duh![/url]

Name: Don't Drop Your Camera 5.0 Seconds After Liftoff Category: Kinematics Date Added: 22 May 2014  04:31 PM Submitter: Flipping Physics Short Description: None Provided An advanced freefall acceleration problem involving 2 parts and 2 objects. Problem: You are wearing your rocket pack (total mass = 75 kg) that accelerates you upward at a constant 10.5 m/s^2. While preparing to take pictures of the beautiful view, you drop your camera 5.0 seconds after liftoff. 5.0 seconds after you drop the camera, (a) what is the camera's velocity and ( how far are you from the camera? Content Times: 0:17 Reading the problem 1:26 Understanding the problem using a picture 2:10 Listing every known variable 3:22 Which part do we start solving first? 3:47 What do we solve for in part 1? 4:46 That's a lot of subscripts, why? 5:24 Starting to solve the problem. Finding the final velocity for part 1. 6:32 Solving for the final velocity for part 2 for the camera 7:46 Why is the final velocity for part 2 for the camera positive? 9:10 Finding the displacement for part 2 for the camera 9:55 Finding the displacement for part 2 for you 10:42 Finding the distance between you and the camera at the very end 11:27 The Review Want Lecture Notes? Next Video: Introduction to TiptoTail Vector Addition, Vectors and Scalars Previous Video: Dropping Dictionaries Doesn't Defy Gravity, Duh! View Video

A FreeFall Problem That You Must Split Into Two Parts
Flipping Physics posted a video in Kinematics
This is a complicated freefall problem where you have to identify that the velocity at the top of the path is zero in the ydireciton. Furthermore, you have to look at it from the perspective of the whole event and splitting the problem into two different parts. A classic freefall acceleration example problem. Content Times: 0:45 Reading the problem 1:12 Translating the problem to physics 3:04 Starting with the whole event 4:36 Splitting the problem into two parts 6:06 Solving part 1: Going up 8:17 Finishing the problem 9:05 An alternate solution 9:38 The review [url="http://www.flippingphysics.com/freefallproblem.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/droppingdictionaries.html"]Dropping Dictionaries Doesn't Defy Gravity, Duh![/url] Previous Video: [url="http://www.flippingphysics.com/commonfreefallpitfalls.html"]Common FreeFall Pitfalls[/url]
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Name: A FreeFall Problem That You Must Split Into Two Parts Category: Kinematics Date Added: 22 May 2014  04:27 PM Submitter: Flipping Physics Short Description: None Provided This is a complicated freefall problem where you have to identify that the velocity at the top of the path is zero in the ydireciton. Furthermore, you have to look at it from the perspective of the whole event and splitting the problem into two different parts. A classic freefall acceleration example problem. Content Times: 0:45 Reading the problem 1:12 Translating the problem to physics 3:04 Starting with the whole event 4:36 Splitting the problem into two parts 6:06 Solving part 1: Going up 8:17 Finishing the problem 9:05 An alternate solution 9:38 The review View Video

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In the previous lesson we dropped a ball from 2.0 meters above the ground and now we throw one up to a height of 2.0 meters. We do this in order to understand the similarities between the two events. Oh, and of course we draw some graphs. This is an Introductory FreeFall Acceleration Problem Content Times: 0:18 Reviewing the previous lesson 0:34 Reading the new problem 1:26 Acceleration vs. time 1:59 Velocity vs. time 2:49 Position vs. time 4:16 The Velocity at the top is ZERO! 5:50 Comparing throwing the ball to dropping the ball 6:56 Finding the total change in time 7:44 Finding the velocity initial 9:47 The Review [url="http://www.flippingphysics.com/throwingaball.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/dropandupwardthrow.html"]The Drop and Upward Throw of a Ball are Very Similar[/url] Previous Video: [url="http://www.flippingphysics.com/graphingthedropofaball.html"]Graphing the Drop of a Ball from 2.0 Meters[/url]  An Introductory FreeFall Acceleration Problem

Name: Throwing a Ball up to 2.0 Meters & Proving the Velocity at the Top is Zero Category: Kinematics Date Added: 22 May 2014  04:23 PM Submitter: Flipping Physics Short Description: None Provided In the previous lesson we dropped a ball from 2.0 meters above the ground and now we throw one up to a height of 2.0 meters. We do this in order to understand the similarities between the two events. Oh, and of course we draw some graphs. This is an Introductory FreeFall Acceleration Problem Content Times: 0:18 Reviewing the previous lesson 0:34 Reading the new problem 1:26 Acceleration vs. time 1:59 Velocity vs. time 2:49 Position vs. time 4:16 The Velocity at the top is ZERO! 5:50 Comparing throwing the ball to dropping the ball 6:56 Finding the total change in time 7:44 Finding the velocity initial 9:47 The Review View Video

In this introductory freefall acceleration problem we analyze a video of a medicine ball being dropped to determine the final velocity and the time in freefall. Included are three common mistakes students make. "Why include mistakes?" you might ask. Well, it is important to understand what happens when you make mistakes so that you can recognize them in the future. There is also brief description of "parallax" and how it affects what you see in the video compared to reality. Content TImes: 0:26 Reading and viewing the problem 0:50 Describing the parallax issue 1:52 Translating the problem to physics 2:05 1st common mistake: Velocity final is not zero 3:09 Finding the 3rd UAM variable, initial velocity 3:56 Don't we need to know the mass of the medicine ball? 4:35 Solving for the final velocity in the y direction: part (a) 5:39 Identifying our 2nd common mistake: Square root of a negative number? 7:56 Solving for the change in time: part (b) 8:28 Identifying our 3rd common mistake: Negative time? 9:36 Please don't write negative down! 10:27 Does reality match the physics? 11:07 The Review [url="http://www.flippingphysics.com/droppingaballfrom20meters.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/graphingthedropofaball.html"]Graphing the Drop of a Ball from 2.0 Meters[/url]  An Introductory FreeFall Acceleration Problem Previous Video: [url="http://www.flippingphysics.com/apollo15featherandhammerdrop.html"]Analyzing the Apollo 15 Feather and Hammer Drop[/url]  A Basic Introductory FreeFall Problem
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Name: Dropping a Ball from 2.0 Meters  An Introductory FreeFall Acceleration Problem Category: Kinematics Date Added: 22 May 2014  04:20 PM Submitter: Flipping Physics Short Description: None Provided In this introductory freefall acceleration problem we analyze a video of a medicine ball being dropped to determine the final velocity and the time in freefall. Included are three common mistakes students make. "Why include mistakes?" you might ask. Well, it is important to understand what happens when you make mistakes so that you can recognize them in the future. There is also brief description of "parallax" and how it affects what you see in the video compared to reality. Content TImes: 0:26 Reading and viewing the problem 0:50 Describing the parallax issue 1:52 Translating the problem to physics 2:05 1st common mistake: Velocity final is not zero 3:09 Finding the 3rd UAM variable, initial velocity 3:56 Don't we need to know the mass of the medicine ball? 4:35 Solving for the final velocity in the y direction: part (a) 5:39 Identifying our 2nd common mistake: Square root of a negative number? 7:56 Solving for the change in time: part ( 8:28 Identifying our 3rd common mistake: Negative time? 9:36 Please don't write negative down! 10:27 Does reality match the physics? 11:07 The Review Want Lecture Notes? Next Video: Graphing the Drop of a Ball from 2.0 Meters  An Introductory FreeFall Acceleration Problem Previous Video: Analyzing the Apollo 15 Feather and Hammer Drop  A Basic Introductory FreeFall Problem View Video

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In this lesson we continue to use what we have learned about solving Uniformly Accelerated Motion (UAM) problems. This problem is more complicated because it involves two, interconnected parts. Content Times: 0:26 Reading the problem 0:46 Seeing the problem 1:11 Translating from words to physics 1:58 Splitting the problem into two parts 3:13 Fixing the knowns (common mistakes) 4:35 How do we know we can use the UAM equations? 5:19 Drawing a picture to better understand the problem 6:00 Finding the missing known 7:29 What are we finding again? 8:45 The end of part 1 is the start of part 2! 9:29 Beginning to solve the problem :) 11:19 Solving part (b) 13:53 What is wrong with solving the whole thing at once? 16:03 Rapping it up! [url="http://www.flippingphysics.com/toycaruamproblem.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/thehumilitysoapboxndashuniformlyvsuniformally.html"]The Humility Soapbox  Uniformly vs. Uniformally[/url] Previous Video: [url="http://www.flippingphysics.com/introductoryuniformlyacceleratedmotionproblem.html"]Introductory Uniformly Accelerated Motion Problem  A Braking Bicycle[/url]

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Name: Toy Car UAM Problem with Two Difference Accelerations Category: Kinematics Date Added: 21 May 2014  03:45 PM Submitter: Flipping Physics Short Description: None Provided In this lesson we continue to use what we have learned about solving Uniformly Accelerated Motion (UAM) problems. This problem is more complicated because it involves two, interconnected parts. Content Times: 0:26 Reading the problem 0:46 Seeing the problem 1:11 Translating from words to physics 1:58 Splitting the problem into two parts 3:13 Fixing the knowns (common mistakes) 4:35 How do we know we can use the UAM equations? 5:19 Drawing a picture to better understand the problem 6:00 Finding the missing known 7:29 What are we finding again? 8:45 The end of part 1 is the start of part 2! 9:29 Beginning to solve the problem 11:19 Solving part ( 13:53 What is wrong with solving the whole thing at once? 16:03 Rapping it up! Want Lecture Notes? Next Video: The Humility Soapbox  Uniformly vs. Uniformally Previous Video: Introductory Uniformly Accelerated Motion Problem  A Braking Bicycle View Video

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This video continues what we learned about UAM in our previous lesson. We work through a introductory problem involving a bicycle on which we have applied the brakes. Content Times: 0:28 Reading the problem 0:48 Seeing the problem 1:15 Translating the problem to physics 2:35 Why is it final speed and not velocity? 3:48 Solving for the acceleration 6:03 Converting initial velocity to meters per second 7:32 Solving for distance traveled. 8:05 A common mistake 10:02 Two more ways to solve for the distance traveled. 10:45 Why didn't the speedometer show the correct final speed? [url="http://www.flippingphysics.com/toycaruamproblem.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/toycaruamproblem.html"]Toy Car UAM Problem with Two Difference Accelerations[/url] Previous Video: [url="http://www.flippingphysics.com/introductoryuniformlyacceleratedmotionproblem.html"]Introduction to Uniformly Accelerated Motion with Examples of Objects in UAM[/url]

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Name: Introductory Uniformly Accelerated Motion Problem  A Braking Bicycle Category: Kinematics Date Added: 21 May 2014  03:43 PM Submitter: Flipping Physics Short Description: None Provided This video continues what we learned about UAM in our previous lesson. We work through a introductory problem involving a bicycle on which we have applied the brakes. Content Times: 0:28 Reading the problem 0:48 Seeing the problem 1:15 Translating the problem to physics 2:35 Why is it final speed and not velocity? 3:48 Solving for the acceleration 6:03 Converting initial velocity to meters per second 7:32 Solving for distance traveled. 8:05 A common mistake 10:02 Two more ways to solve for the distance traveled. 10:45 Why didn't the speedometer show the correct final speed? View Video

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This video starts with a simple acceleration problem and then addresses a commonly held misconception that a negative acceleration always means you are slowing down. I do this by way of examples. Kate (my wife) drove the Prius with a camera suction cupped to the window and videoed me riding my bike several times. In the end I ended up with four different examples on the screen at once and 25 different video layers to describe it all. I am really proud about how well it worked. Enjoy. Content Times: 0:26 Reading the problem 0:40 Seeing the problem 1:14 Translating the words to Physics 1:54 Solving the problem 3:50 Why is the number on the bike positive? 4:48 How can the bike be speeding up if the acceleration is negative? 5:50 Comparing velocity and acceleration directions 7:28 All four bike examples on the screen at the same time 7:53 Why isn't there a direction on our answer? 8:51 Outtakes or how the bike riding was filmed [url="http://www.flippingphysics.com/abasicaccelerationexampleproblemandunderstandingaccelerationdirection.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/walkingpositionvelocityandaccelerationasafunctionoftimegraphs.html"]Walking Position, Velocity and Acceleration as a Function of Time Graphs[/url] Previous Video: [url="http://www.flippingphysics.com/introductiontoaccelerationwithpriusbrakeslammingexampleproblem.html"]Introduction to Acceleration with Prius Brake Slamming Example Problem[/url]

Name: A Basic Acceleration Example Problem and Understanding Acceleration Direction Category: Kinematics Date Added: 21 May 2014  08:53 AM Submitter: Flipping Physics Short Description: None Provided This video starts with a simple acceleration problem and then addresses a commonly held misconception that a negative acceleration always means you are slowing down. I do this by way of examples. Kate (my wife) drove the Prius with a camera suction cupped to the window and videoed me riding my bike several times. In the end I ended up with four different examples on the screen at once and 25 different video layers to describe it all. I am really proud about how well it worked. Enjoy. Content Times: 0:26 Reading the problem 0:40 Seeing the problem 1:14 Translating the words to Physics 1:54 Solving the problem 3:50 Why is the number on the bike positive? 4:48 How can the bike be speeding up if the acceleration is negative? 5:50 Comparing velocity and acceleration directions 7:28 All four bike examples on the screen at the same time 7:53 Why isn't there a direction on our answer? 8:51 Outtakes or how the bike riding was filmed View Video

This is an introduction to the concept of acceleration. There is also an example problem showing applying the brakes while driving a car in order to avoid hitting a basketball. Also included are common mistakes students make while solving a simple problem like this. It is important to see what those mistakes are because it helps students avoid them in the future. Content Times: 0:19 The Equation for Acceleration 1:06 The Dimensions for Acceleration 2:18 Acceleration has both Magnitude and Direction 3:00 Reading the Problem 3:15 Video of the Problem 4:29 Translating the Problem to Physics 5:03 Starting to solve the Problem (with mistakes) 5:37 Explaining two mistakes 7:34 Explaining another mistake 10:00 Outtakes (including a basketball dribbling montage) [url="http://www.flippingphysics.com/introductiontoaccelerationwithpriusbrakeslammingexampleproblem.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/abasicaccelerationexampleproblemandunderstandingaccelerationdirection.html"]A Basic Acceleration Example Problem and Understanding Acceleration Direction[/url] Previous Video: [url="http://www.flippingphysics.com/exampleproblemfindingaveragespeedforpolepositionndashnotaseasyasyouthink.html"]Example Problem: Finding Average Speed for Pole Position[/url]  Not as easy as you may think

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Name: Introduction to Acceleration with Prius Brake Slamming Example Problem Category: Kinematics Date Added: 21 May 2014  08:52 AM Submitter: Flipping Physics Short Description: None Provided This is an introduction to the concept of acceleration. There is also an example problem showing applying the brakes while driving a car in order to avoid hitting a basketball. Also included are common mistakes students make while solving a simple problem like this. It is important to see what those mistakes are because it helps students avoid them in the future. Content Times: 0:19 The Equation for Acceleration 1:06 The Dimensions for Acceleration 2:18 Acceleration has both Magnitude and Direction 3:00 Reading the Problem 3:15 Video of the Problem 4:29 Translating the Problem to Physics 5:03 Starting to solve the Problem (with mistakes) 5:37 Explaining two mistakes 7:34 Explaining another mistake 10:00 Outtakes (including a basketball dribbling montage) View Video

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This video is an example problem that walks through finding the average speed for the last 2 laps of the 4 lap qualifier for the Indianapolis 500 assuming an average speed for the first 2 laps. It is actually more difficult than it initially appears. Content Times: 0:36 Reading the Problem 1:06 Translating to Physics 3:25 A Visual representation of our Known Values 4:07 Beginning to Solve the Problem 5:27 Finding the Time for Part 1 7:15 Finding the Total Time 9:00 Finding the Time for Part 2 10:15 Finding the Average Speed for Part 2 10:45 A Common Mistake 12:07 The Answer 13:15 A Question about Significant Digits [url="http://www.flippingphysics.com/exampleproblemfindingaveragespeedforpolepositionndashnotaseasyasyouthink.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/introductiontoaccelerationwithpriusbrakeslammingexampleproblem.html"]Introduction to Acceleration with Prius Brake Slamming Example Problem[/url] Previous Video: [url="http://www.flippingphysics.com/understandingandwalkinggraphsofpositionasafunctionoftime.html"]Understanding and Walking Position as a function of Time Graphs[/url]

Name: Finding Average Speed for Pole Position: Example Problem  Not as easy as you may think Category: Kinematics Date Added: 21 May 2014  08:50 AM Submitter: Flipping Physics Short Description: None Provided This video is an example problem that walks through finding the average speed for the last 2 laps of the 4 lap qualifier for the Indianapolis 500 assuming an average speed for the first 2 laps. It is actually more difficult than it initially appears. Content Times: 0:36 Reading the Problem 1:06 Translating to Physics 3:25 A Visual representation of our Known Values 4:07 Beginning to Solve the Problem 5:27 Finding the Time for Part 1 7:15 Finding the Total Time 9:00 Finding the Time for Part 2 10:15 Finding the Average Speed for Part 2 10:45 A Common Mistake 12:07 The Answer 13:15 A Question about Significant Digits View Video

This example problem works shows that Velocity and Speed are different. It also illustrates that Speed is Not Velocity without direction. Content Times: 0:16 Reading the Problem 1:10 Translating the problem to physics 1:53 Part (a) Average Speed 2:57 Part (b) Average Velocity 4:34 Speed is Not Velocity without direction [url="http://www.flippingphysics.com/exampleproblemvelocityandspeedaredifferent.html"]Want Lecture Notes?[/url] Next Video: [url="http://www.flippingphysics.com/understandingandwalkinggraphsofpositionasafunctionoftime.html"]Understanding and Walking Position as a function of Time Graphs[/url] Previous Video: [url="http://www.flippingphysics.com/averagevelocityexampleproblemwiththreevelocities.html"]Average Velocity Example Problem with Three Velocities[/url]

Name: Velocity and Speed are Different: Example Problem Category: Kinematics Date Added: 21 May 2014  08:47 AM Submitter: Flipping Physics Short Description: None Provided This example problem works shows that Velocity and Speed are different. It also illustrates that Speed is Not Velocity without direction. Content Times: 0:16 Reading the Problem 1:10 Translating the problem to physics 1:53 Part (a) Average Speed 2:57 Part ( Average Velocity 4:34 Speed is Not Velocity without direction Want Lecture Notes? Next Video: Understanding and Walking Position as a function of Time Graphs Previous Video: Average Velocity Example Problem with Three Velocities View Video
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