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I'm looking at the AP Mech C practice FRQ: https://apclassroom.collegeboard.org/29/question_bank/create/preview/item/1320757 On part c, the scoring rubric says "1 point is earned for [graphing] a pair of quantities that could be used to determine g  students must graph measured, not calculated quantities." Does this mean that graphing k∆x vs. Msinθ would not earn the point? If so, that would deviate from past AP Exams, would it not?

Name: Hooke's Law Introduction  Force of a Spring Category: Oscillations Date Added: 20180402 Submitter: Flipping Physics Hooke’s law is demonstrated and graphed. Spring constant, displacement from equilibrium position, and restoring force are defined and demonstrated. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:01 Robert Hooke 0:46 Compressing a spring using a force sensor 1:33 Graphing force as a function of position 2:14 Hooke’s Law 3:07 Demonstrating displacement from rest position 5:20 Demonstrating the spring constant 6:15 What the negative in Hooke’s Law means 7:02 The spring constant is positive 7:54 The restoring force 8:33 Elastic limit Next Video: Determining the Spring Constant, k, with a Vertically Hanging Mass Multilingual? Please help translate Flipping Physics videos! Previous Video: Instantaneous Power Delivered by a Car Engine  Example Problem Please support me on Patreon! Thank you to Aarti Sangwan, Jonathan Everett, Christopher Becke, and Scott Carter for being my Quality Control Team for this video. Thank you to Youssef Nasr for transcribing the English subtitles of this video. Hooke's Law Introduction  Force of a Spring

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Name: AP Physics C: Simple Harmonic Motion Review (Mechanics) Category: Oscillations & Gravity Date Added: 20170430 Submitter: Flipping Physics Calculus based review of Simple Harmonic Motion (SHM). SHM is defined. A horizontal massspring system is analyzed and proven to be in SHM and it’s period is derived. The difference between frequency and angular frequency is shown. The equations and graphs of position, velocity, and acceleration as a function of time are analyzed. the phase constant Phi is explained. And Conservation of Mechanical Energy in SHM is discussed. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:12 Defining simple harmonic motion (SHM) 0:53 Analyzing the horizontal massspring system 2:26 Proving a horizontal massspring system is in SHM 3:38 Solving for the period of a massspring system in SHM 4:39 Are frequency and angular frequency the same thing? 5:16 Position as a function of time in SHM 5:44 Explaining the phase constant Phi 6:19 Deriving velocity as a function of time in SHM 7:33 Deriving acceleration as a function of time in SHM 9:05 Understanding the graphs of position, velocity, and acceleration as a function of time in SHM 12:16 Conservation of Mechanical Energy in SHM Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Equations to Memorize (Mechanics) Previous Video: AP Physics C: Universal Gravitation Review (Mechanics) Please support me on Patreon! Thank you to Sawdog for being my Quality Control individual for this video. AP Physics C: Simple Harmonic Motion Review (Mechanics)

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Name: AP Physics C: Universal Gravitation Review (Mechanics) Category: Oscillations & Gravity Date Added: 20171222 Submitter: Flipping Physics Calculus based review of Universal Gravitation including Newton’s Universal Law of Gravitation, solving for the acceleration due to gravity in a constant gravitational field, universal gravitational potential energy, graphing universal gravitational potential energy between an object and the Earth, three example problems (binding energy, escape velocity and orbital energy), and Kepler’s three laws. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? At 6:01 this video addresses an error in the Universal Gravitational Potential Energy Graph from the video's previous iteration. Content Times: 0:10 Newton’s Universal Law of Gravitation 1:52 Solving for the acceleration due to gravity 2:02 Universal Gravitational Potential Energy 4:52 Graph of Universal Gravitational Potential Energy between an object and the Earth 6:01 Correcting the Universal Gravitational Potential Energy Graph 7:30 Binding Energy Example Problem 9:41 Escape Velocity Example Problem 11:19 Orbital Energy Example Problem 13:52 Kepler’s Three Laws 14:17 Kepler’s First Law 16:19 Kepler’s Second Law 16:42 Deriving Kepler’s Third Law Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Simple Harmonic Motion Review (Mechanics) Previous Video: AP Physics C: Rotational vs. Linear Review (Mechanics) Please support me on Patreon! Thank you to Aarti Sangwan, Sawdog, and Frank Geshwind for being my Quality Control team for this video. AP Physics C: Universal Gravitation Review (Mechanics)

 universal gravitation
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Name: AP Physics C: Integrals in Kinematics Review (Mechanics) Category: Kinematics Date Added: 20170402 Submitter: Flipping Physics Calculus based review of definite integrals, indefinite integrals, and derivatives as used in kinematics. Graphs of position, velocity, and acceleration as a function of time are compared using derivatives and integrals. Two of the uniformly accelerated motion (or kinematics) equations are derived using indefinite integrals. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:11 Rearranging the acceleration equation to get change in velocity 1:41 Rearranging the velocity equation to get change in position 2:06 Comparing graphs of position, velocity, and acceleration as a function of time 3:28 Using the integral to solve for one of the uniformly accelerated motion equations 4:44 Using the integral to solve for a second uniformly accelerated motion equation FYI: I do not teach integrals until we get to Work. By then the students who are taking calculus concurrently with AP Physics C Mechanics have had enough experience with derivatives that they only freak out a little bit when I teach them integrals. Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Momentum, Impulse, Collisions and Center of Mass Review (Mechanics) Previous Video: AP Physics C: Work, Energy, and Power Review (Mechanics) Please support me on Patreon! Thank you to Mark Kramer and Aarti Sangwan for being my Quality Control team. AP Physics C: Integrals in Kinematics Review (Mechanics)

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Name: Calculating Average Drag Force on an Accelerating Car using an Integral Category: Dynamics Date Added: 20160811 Submitter: Flipping Physics A vehicle uniformly accelerates from rest to 3.0 x 10^1 km/hr in 9.25 seconds and 42 meters. Determine the average drag force acting on the vehicle. Want lecture notes? This is an AP Physics C Topic. Content Times: 0:14 The Drag Force equation 0:39 The density of air 1:33 The drag coefficient 1:59 The cross sectional area 3:11 Determining instantaneous speed 4:08 Instantaneous Drag Force 4:36 Graphing Drag Force as a function of Time 5:17 The definite integral of drag force with respect to time 5:42 Average Drag Force times Total Change in Time Next Video: Instantaneous Power Delivered by a Car Engine  Example Problem Multilingual? Please help translate Flipping Physics videos! Previous Video: Average Power Delivered by a Car Engine  Example Problem Please support me on Patreon! Calculating Average Drag Force on an Accelerating Car using an Integral

Name: Graphing Instantaneous Power Category: Work, Energy, Power Date Added: 20160628 Submitter: Flipping Physics An 8.53 kg pumpkin is dropped from a height of 8.91 m. Will the graph of instantaneous power delivered by the force of gravity as a function of _____ be linear? If not, what would you change to make the graph linear? (a) Time, (b) Position. Want Lecture Notes? This is an AP Physics 1 Topic. Content Times: 0:12 The example 1:08 The equation for instantaneous power 1:43 Part (a): Solving for velocity as a function of time 2:55 Part (a): Solving for power as a function of time 3:23 Part (a): Is power as a function of time linear? 4:26 Part (a): Graphing power as a function of time 5:03 Part (b): Solving for velocity as a function of position 5:58 Part (b): Solving for power as a function of position 7:02 Part (b): Is power as a function of position linear? 7:38 Part (b): How can we make the graph linear? 8:33 Part (b): Graphing power squared as a function of position Next Video: Average Power Delivered by a Car Engine  Example Problem Multilingual? Please help translate Flipping Physics videos! Previous Video: Average and Instantaneous Power Example Please support me on Patreon! Graphing Instantaneous Power

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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Name: Free Response Question #3  AP Physics 1  2015 Exam Solutions Category: Exam Prep Date Added: 20160331 Submitter: Flipping Physics Want Lecture Notes? Content Times: 0:11 The initial setup 1:00 Part (a) setup 2:11 Part (a) at x = D 3:07 Part (a) from x = D to x = 0 4:28 Part (a) from x = 0 to x = 3D 6:39 Part (b) 7:21 Part (b i) 7:50 Part (b ii) 8:33 Part (c) 10:14 Part (d) Question 11:12 Part (d) Answers AP Physics 1 Review Videos Next Video: Free Response Question #4  AP Physics 1  2015 Exam Solutions Previous Video: Free Response Question #2  AP Physics 1  2015 Exam Solutions Multilingual? Please help translate Flipping Physics videos! 1¢/minute 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 #3  AP Physics 1  2015 Exam Solutions

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Name: Experimentally Graphing the Force of Friction Category: Dynamics Date Added: 20150819 Submitter: Flipping Physics To help understand the force of friction, mr.p pulls on a wooden block using a force sensor. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:17 Drawing the Free Body Diagram 0:43 Summing the forces in the xdirection 1:21 Graph when the block doesn’t move 1:46 Graph with the block moving Next Video: Does the Book Move? An Introductory Friction Problem Multilingual? Please help translate Flipping Physics videos! Previous Video: Understanding the Force of Friction Equation 1¢/minute Experimentally Graphing the Force of Friction

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Name: Experimentally Graphing Uniformly Accelerated Motion Category: Kinematics Date Added: 16 January 2015  09:38 AM Submitter: Flipping Physics Short Description: None Provided We experimentally determine the position, velocity and acceleration as a function of time for a street hockey puck that is sliding and slowing down. Is it uniformly accelerated motion? Content Times: 0:16 Experimental graph of position as a function of time 0:43 Deciding what the graph of velocity as a function of time ideally should be 1:35 Experimental graph of velocity as a function of time 2:11 Deciding what the graph of acceleration as a function of time ideally should be 2:57 Experimental graph of acceleration as a function of time Multilingual? View Video

Name: Using Newton's Second Law to find the Force of Friction Category: Dynamics Date Added: 12 January 2015  11:59 AM Submitter: Flipping Physics Short Description: None Provided In order to use Newtonâ€™s Second Law, you need to correctly draw the Free Body Diagram. This problem explains a common mistake students make involving the force applied. We also review how to find acceleration on a velocity as a function of time graph. Content Times: 0:22 The problem 0:54 Listing our known values 1:51 Drawing the Free Body Diagram 2:17 A common mistake in our Free Body Diagram 3:32 Solving the problem 4:14 Another common mistake 5:07 Why is the acceleration positive? Multilingual? View Video

Name: Creating a Position vs. Time Graph using Stop Motion Photography Category: Kinematics Date Added: 22 May 2014  04:26 PM Submitter: Flipping Physics Short Description: None Provided We talk about a lot of graphs in the theoretical sense. In this video we are actually going to create a position versus time graph in a real sense. By using stop motion photography and stopping a ball at various intervals while falling, we will create a position as a function of time graph. Content Times: 0:23 Identifying the Position vs. Time graph we are going to create 0:46 A single video slice of freefall 1:19 Slow the video down to 1/8th speed 1:50 Creating the graph 2:10 Proving that reality matches the graph View Video

Name: The Drop and Upward Throw of a Ball are Very Similar Category: Kinematics Date Added: 22 May 2014  04:25 PM Submitter: Flipping Physics Short Description: None Provided Previously we determined the motion graphs for dropping a ball from 2.0 meters and throwing a ball up to 2.0 meters and catching it again. In this video I show that the reverse of the drop coupled with the drop itself is the same thing as throwing the ball upward. Make sense? Okay, watch the video. Content Times: 0:13 Reviewing the previous graphs 0:25 The drop is the same as the 2nd half of the drop 0:48 Dropping the medicine ball in reverse 1:16 Bobby reviews 1:35 Links to Previous and Next Videos View Video

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

Name: Graphing the Drop of a Ball from 2.0 Meters  An Introductory FreeFall Acceleration Problem Category: Kinematics Date Added: 22 May 2014  04:22 PM Submitter: Flipping Physics Short Description: None Provided This video continues a problem we already solved involving dropping a ball from 2.0 meters. Now we determine how to draw the position, velocity and acceleration as functions of time graphs. Content Times: 0:17 Reviewing the previous lesson 1:00 Acceleration as a function of time 1:31 Velocity as a function of time 2:39 Position as a function of time 3:56 The Review View Video

Video Discussion: Graphical UAM Example Problem
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Name: Graphical UAM Example Problem Category: Kinematics Date Added: 21 May 2014  03:48 PM Submitter: Flipping Physics Short Description: None Provided Again with the graphs? Yes. Absolutely Yes. Graphs are such an important part of any science, especially physics. The more you work with graphs, the more you will understand them. Here we combine graphs and uniformly accelerated motion. Enjoy. Content Times: 0:29 Reading the Problem 1:02 How do we know it is UAM from the graph? 1:26 Two different, equivalent equations for acceleration 2:41 Finding acceleration 3:23 Graphing acceleration vs. time 3:44 The general shape of the position vs. time graph 4:53 Determining specific points on the position vs. time graph 6:06 Graphing position vs. time 6:58 The Review View Video
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Name: Understanding Instantaneous and Average Velocity using a Graph Category: Kinematics Date Added: 21 May 2014  03:47 PM Submitter: Flipping Physics Short Description: None Provided Students often get confused by the difference between Instantaneous and Average. In this video we use a graph to compare and understand the two different concepts. Content Times: 0:28 Defining Instantaneous and Average Velocity 0:52 Examples of Each 2:23 The Graph 2:42 Walking the Graph (my favorite part) 3:19 Average Velocity from 0  5 Seconds 5:30 Average Velocity from 5  10 Seconds 6:45 Some Instantaneous Velocities 7:44 Average Velocity from 0  17 Seconds 8:37 Drawing this Average Velocity on the Graph 9:15 Comparing Average Velocity to Instantaneous Velocity 10:32 What was the Instantaneous Velocity at exactly 5 seconds? 11:47 The Review View Video

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Name: Walking Position, Velocity and Acceleration as a Function of Time Graphs Category: Kinematics Date Added: 21 May 2014  08:56 AM Submitter: Flipping Physics Short Description: None Provided This lesson builds on what we learned about position as a function of time graphs. We start with velocity as a function of time graphs, determine what the motion would look like and then draw position and acceleration as a function of time graphs. We use the concepts of slope and tangent line to help us build the graphs. Content Times: 0:35 What is the slope of a velocity vs. time graph? 2:30 Walking the 1st velocity vs. time example 4:17 Explaining what a constant slope is 7:11 Drawing position vs. time for the 1st example 9:08 The Magic Tangent Line Finder! (defining tangent line) 11:18 A look forward to Calculus 12:51 Drawing acceleration vs. time for the 1st example 14:35 Walking the 2nd velocity vs. time example 15:47 Drawing position vs. time for the 2nd example 17:19 Drawing acceleration vs. time for the 2nd example 18:17 Walking the 3rd velocity vs. time example 20:41 Drawing position and acceleration vs. time for the 3rd example 22:55 Ideal vs. real data View Video

Name: Understanding and Walking Position as a function of Time Graphs Category: Kinematics Date Added: 21 May 2014  08:48 AM Submitter: Flipping Physics Short Description: None Provided In this lesson we derive that the slope of a position versus time graph is velocity. We also walk through several position as a function of time graphs to understand what they mean. Content Times: 0:34 Position as a function of Time 1:04 Defining Slope 3:04 The Slope of a Position as a function of Time Graph is Velocity 3:43 Defining Position Locations on the Graph 4:37 1st Graph 6:25 2nd Graph 7:25 3rd Graph 9:18 4th Graph View Video
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