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Cart on a Ramp (Sensor Cart) Cart on a Ramp (Sensor Cart)   Graphical Analysis 3 Cart on a Ramp (Sensor Cart) This experiment uses an incline and a low-friction cart. If you give the cart a gentle push up the incline, the cart will roll upward, slow and stop, and then roll back down, speeding up. A graph of its velocity vs. time would show these changes. Is there a mathematical pattern to the changes in velocity? What is the accompanying pattern to the position vs. time graph? What does the acceleration vs. time graph look like? Is the acceleration constant? In this experiment, you will use a Sensor Cart to collect position, velocity, and acceleration data for a cart rolling up and down an incline. Analysis of the graphs of this motion will answer the questions above. Figure 1    objectives · Collect position, velocity, and acceleration data as a cart rolls freely up and down an incline. · Analyze position vs. time, velocity vs. time, and acceleration vs. time graphs. · Determine the best fit equations for the position vs. time and velocity vs. time graphs. · Determine the mean acceleration from the acceleration vs. time graph. Materials Chromebook, computer, or mobile device Graphical Analysis 4 app Go Direct Sensor Cart Vernier Dynamics Track Adjustable End Stop Preliminary questions 1. Consider the changes in motion that a cart will undergo as it rolls up and down an incline. Make a sketch of your prediction for the position vs. time graph. Describe in words what this graph means. 2. Make a sketch of your prediction for the velocity vs. time graph. Describe in words what this graph means. 3. Make a sketch of your prediction for the acceleration vs. time graph. Describe in words what this graph means. Procedure Part I 1. Launch Graphical Analysis. Connect the Sensor Cart to your Chromebook, computer, or mobile device. 2. Place the cart on the track near the Adjustable End Stop. Point the +x arrow toward the top of the ramp. Click or tap Collect to start data collection. Wait about a second, then briefly push the cart up the incline, letting it roll freely up nearly to the top, and then back down. Catch the cart as it nears the end stop. 3. Examine the position vs. time graph. Repeat Step 2 if your position vs. time graph does not show an area of smoothly changing position. Check with your instructor if you are not sure whether you need to repeat data collection. 4. Answer the Analysis questions for Part I before proceeding to Part II. Part II 5. Your cart can bounce against the end stop with its plunger. Practice starting the cart so it bounces at least twice during data collection. 6. Collect another set of data showing two or more bounces. Note: The previous data set is automatically saved. 7. Proceed to the Analysis questions for Part II. Analysis Part I 1. Export, print, or sketch the three motion graphs. To view the acceleration vs. time graph, change the y-axis of either graph to Acceleration. The graphs you have recorded are fairly complex and it is important to identify different regions of each graph. Record your answers directly on the printed or sketched graphs. a. Identify the region when the cart was being pushed by your hand: · Examine the velocity vs. time graph and identify the region. Label it on the graph. · Examine the acceleration vs. time graph and identify the same region. Label the graph. b. Identify the region where the cart was rolling freely: · Label the region on each graph where the cart was rolling freely and moving up the incline. · Label the region on each graph where the cart was rolling freely and moving down the incline. c. Determine the position, velocity, and acceleration at specific points: · On the velocity vs. time graph, decide where the cart had its maximum velocity, just as the cart was released. Mark the spot and record the value on the graph. · On the position vs. time graph, locate the highest point of the cart on the incline. Mark the spot and record the value on the graph. · What was the velocity of the cart at the top of its motion? · What was the acceleration of the cart at the top of its motion? 2. The motion of an object in constant acceleration is modeled by the equation x = ½ at2 + v0t + x0, where x is the position, a is the acceleration, t is time, and v0 is the initial velocity. This is a quadratic equation whose graph is a parabola. If the cart moved with constant acceleration while it was rolling, your graph of position vs. time will be parabolic. a. Select the data in the parabolic region of the position graph. b. Click or tap Graph Tools, , for the position vs. time graph and choose Apply Curve Fit. c. Select Quadratic as the curve fit and click or tap Apply. d. Record the parameters of the fitted curve (the acceleration). Is the cart’s acceleration constant during the free-rolling segment? Note: in the quadratic fitting the application uses the symbol for the coefficient of the quadratic term, this is not exactly the acceleration. What is the relationship between this coefficient and the acceleration? Hint: the motion of an object in constant acceleration is modeled by the equation x = ½ at2 + v0t + x0., 3. The graph of velocity vs. time is linear if the acceleration is constant. Fit a line to the data. a. Select the data in the linear region of the velocity graph. b. Click or tap Graph Tools, , for the velocity vs. time graph and choose Apply Curve Fit. c. Select Linear as the curve fit and click or tap Apply. d. Record the slope of the fitted line (the acceleration). How closely does the slope correspond to the acceleration you found in the previous step? 4. Change the y-axis to Acceleration. The graph of acceleration vs. time should appear approximately constant during the freely-rolling segment. a. Select the data in the region of the graph that represents when the cart was rolling freely. b. Click or tap Graph Tools, , for the acceleration vs. time graph and choose View Statistics. How closely does the mean acceleration compare to the values of acceleration found in Steps 2 and 3? Part II 5. Determine the cart’s acceleration during the free-rolling segments using the velocity graph. Are they the same? Determine the cart’s acceleration during the free-rolling segments using the position graph. Are they the same? Note: in the quadratic fitting the application uses the symbol for the coefficient of the quadratic term, this is not exactly the acceleration. What is the relationship between this coefficient and the acceleration? Hint: the motion of an object in constant acceleration is modeled by the equation x = ½ at2 + v0t + x0., 6. Physics with Vernier © Vernier Software & Technology 1 2 Physics with Vernier Physics with Vernier 3 Group # Name1, Name2 Name3, Name4, Name5 Math and Sciences department, MIAMI-DADE College PHY2053L-7283 Date Lab Report: Back and Forth Motion Purpose: asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs Example: asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs The purpose of this experiment is to analyze and interpret the kinematic graph, ……………..we will also be examining the back and forth motion of objects. Specifically, analyzing and comparing graphs………. Understanding and visualizing the relationship between position, velocity, and acceleration………. asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs Apparatus: asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asPart I Oscillating Pendulum Swinging pendulum and motion sensor. Example: Here, the physical quantities that we will measure with the motion detector will be.... Position, x Velocity and acceleration Part II Dynamics Cart on an Incline Rubber stopper. Low-friction cart, and motion sensor. The incline is between 5 to 10 degrees. asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqs asqs Part III Student Jumping in the Air asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs Create a figure that describes the experiment. In the figure show clearly the variables to be measured. asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs asqsqs Example (done in PowerPoint) You can make a drawing on the computer or tablet and then take a screenshot (obviously, drawing skills don't matter here). Please, just make sure that the variables to be measured should be clearly Position, x Velocity and acceleration Motion detector represented in the figure. Also, you can take screenshots of the demo video (Blackboard > LABS > 02-Back and Forth> Demonstrations). In summary, use the method that is easiest for you to represent the experimental situation and the variables to be measured. Part IV A Mass Oscillating at the End of a Spring Create a figure that describes the experiment. In the figure show clearly the variables to be measured. Part V Ball Tossed into the Air Create a figure that describes the experiment. In the figure show clearly the variables to be measured. Procedure: Part I Oscillating Pendulum This section should identify and name all experimental variables and briefly describe how the independent variables are controlled. By watching the video of the experiment in (Blackboard > LABS > 02-Back and Forth> Demonstrations) and using the PROCEDURE section of the laboratory instructions(Blackboard > LABS >02-Back and Forth>Lab: 02-Back and Forth), make a brief summary of the steps that were followed to do this part. Example: In this part we launch Graphical Analysis……. With the motion detector we measure….. Part II Dynamics Cart on an Incline This section should identify and name all experimental variables and briefly describe how the independent variables are controlled. By watching the video of the experiment in (Blackboard > LABS > 02-Back and Forth> Demonstrations) and using the PROCEDURE section of the laboratory instructions(Blackboard > LABS >02-Back and Forth>Lab: 02-Back and Forth), make a brief summary of the steps that were followed to do this part. Part III Student Jumping in the Air The same idea as in the previous parts Part IV A Mass Oscillating at the End of a Spring The same idea as in the previous parts Part V Ball Tossed into the Air The same idea as in the previous parts Data: Data consists only of those values measured directly from the experimental apparatus. Although to analyze the data (next section) you use all the rows of the tables. In this section, just copy and paste a few rows of data from the datafile. Part I Oscillating Pendulum Part II Dynamics Cart on an Incline Copy and paste a few rows of data from the datafile. Part III Student Jumping in the Air Copy and paste a few rows of data from the datafile. Part IV A Mass Oscillating at the End of a Spring The same idea as in the previous parts Part V Ball Tossed into the Air dsddsdsdsdsdsdsdsdsdsdfsfsfsfdsfdfdfgdgfdgffsfdsfdfdfgdgfdgffsfdsfdfdfgdgfdgdggdgdfg The same idea as in the previous parts Evaluation of Data: General instructions for this section: This selection Should include all graphs, analysis of graphs, and post lab calculations.State each formula, and if necessary, identify the symbols used in the formula. If repetitive calculations are to be performed, substitute only one set of data into each formula & then construct a table of values for all additional calculated values. Be certain that your finals calculated values are expressed in the correct number of significant figures. DO NOT SHOW YOUR ARITHMETIC CALCULATIONS. Specifically, in this laboratory we will not have to use any formula. Part I: Oscillating Pendulum Predicted graphs. Graphs from data (datafile) Sketches: Vernier: Graphs Example: My predicted or sketched graphs were very similar to the graphs recorded by the Vernier Graphical Application and the Sensor. This is because I previously knew that a Position Vs. Time graph ……., while a Velocity Vs. Time graph looks……. As we can see from the acceleration vs. time graph of the graph below, the acceleration is …. Here you answered question 2 (Was the acceleration constant or changing? How can you tell?) of the ANALYSIS section of the laboratory instructions). The following graph shows the velocity vs time for the pendulum. Here you can see that since the movement is periodic there are several moments where the graph cuts the time axis (points with zero speed). In the experimental demonstration, these points correspond to the highest position of the pendulum ......... In the previous sentence, you answered question 3 (Was there any point in the motion where the velocity was zero? Explain.) Then, you answer questions 4 and 5. They are: Was there any point in the motion where the acceleration was zero? Explain. Where was the pendulum bob when the acceleration was greatest? I suggest you answer these questions in paragraph format and always using graphs in the datafile. Part II: Dynamics Cart on an Incline The same idea as in the previous part I suggest you answer these questions in paragraph format and always using graphs in the datafile. Part III: Student Jumping in the Air The same idea as in the previous part Part IV: A mass Oscillating at the End of a Spring The same idea as in the previous part Part V: Ball Tossed into the Air The same idea as in the previous part Analysis of All Parts Example: All the Position vs. Time graphs are have in common that…., as well as… Here you must answer the questions in this section of the lab instructions file. Conclusion: In the conclusion you must do the following: a) State the relationship between the variables identified in the purpose in a clear, concise English sentence. b) When a mathematical expression can be derived from graphical analysis, write it, making sure to include the appropriate units. State the meaning of the slope and discuss the significance of the y-intercept (when appropriate). c) Describe any new terms that arise as a result of your evaluation of data. d) When your results differ from what is expected, provide a plausible explanation Example: Each of the graphs of motions we studied displayed back and forth motion, they each had similar graphs of position vs time in that they oscillated to a certain degree, but their velocity vs time and acceleration vs time graphs tended to be quite different…… The y-intercept of a position vs. time graph tells us what our initial position is…….. Part I Oscillating Pendulum Part II Dynamics Cart on an Incline Part III Student Jumping in the Air Part IV A Mass Oscillating at the End of a Spring Part V Ball Tossed into the Air Part I Oscillating Pendulum Part II Dynamics Cart on an Incline Part III Student Jumping in the Air Part IV A Mass Oscillating at the End of a Spring The same idea as in the previous parts Part V Ball Tossed into the Air dsddsdsdsdsdsdsdsdsdsdfsfsfsfdsfdfdfgdgfdgffsfdsfdfdfgdgfdgffsfdsfdfdfgdgfdgdggdgdfgThe same idea as in the previous parts Part V Ball Tossed into the Air dsddsdsdsdsdsdsdsdsdsdfsfsfsfdsfdfdfgdgfdgffsfdsfdfdfgdgfdgffsfdsfdfdfgdgfdgdggdgdfgThe same idea as in the previous parts 4.10.0.2063 utf-8 16-10-2019 Copyright (c) 2007-2020 Vernier Software & Technology and its licensors PWV 03 Cart on a Ramp.ambl 3 4 4.10.0.2063 Run 0 PWV 03 Cart on a Ramp.ambl 102 0 101 0 0 161 0.9 162 0.9 163 0.9 165 0.9 114 0.9 116 0.9 119 0.9 122 0.9 108 0 1 0.020000000000 4.980000000000 -0.100000000000 0.757724708319 0.000000000000 0.000000000000 0 1 0 0 0 0 0 114 0 1 114 116 109 0 1 0.020000000000 4.980000000000 -0.894208575523 0.887741850319 0.000000000000 0.000000000000 0 1 0 0 0 0 0 114 0 1 114 119 110 0 0 0.020000000000 5.000000000000 -2.000000000000 7.735567784487 0.000000000000 0.000000000000 0 1 0 0 0 0 0 114 0 1 161 165 117 116 0 103 1 101 Data Set 1 - Part I 0 0 114 113 0 3 101 108 109 Time s 1 1 0 0 1584395328 1584395328 0 0 1 2 0 0 0 4 0 0 1 0 Time 0.02 0.06 0.1 0.14 0.18 0.22 0.26 0.3 0.34 0.38 0.42 0.46 0.5 0.54 0.58 0.62 0.66 0.7 0.74 0.78 0.82 0.86 0.9 0.94 0.98 1.02 1.06 1.1 1.14 1.18 1.22 1.26 1.3 1.34 1.38 1.42 1.46 1.5 1.54 1.58 1.62 1.66 1.7 1.74 1.78 1.82 1.86 1.9 1.94 1.98 2.02 2.06 2.1 2.14 2.18 2.22 2.26 2.3 2.34 2.38 2.42 2.46 2.5 2.54 2.58 2.62 2.66 2.7 2.74 2.78 2.82 2.86 2.9 2.94 2.98 3.02 3.06 3.1 3.14 3.18 3.22 3.26 3.3 3.34 3.38 3.42 3.46 3.5 3.54 3.58 3.62 3.66 3.7 3.74 3.78 3.82 3.86 3.9 3.94 3.98 4.02 4.06 4.1 4.14 4.18 4.22 4.26 4.3 4.34 4.38 4.42 4.46 4.5 4.54 4.58 4.62 4.66 4.7 4.74 4.78 4.82 4.86 4.9 4.94 4.98 116 115 0 2 101 108 Position G m 1 0 0 1584395328 1584395328 0 0 1 3 0 0 0 5 0 1 1 1 Position G 0x0000 0x0073 0x0077 0 0 0 0 0 0.000490099191666 0.00073516368866 0.00171537697315 0.00367580354214 0.00833182781935 0.0159284994006 0.0264658182859 0.0396987348795 0.056852504611 0.0776820890605 0.103412751108 0.132574166986 0.162960853428 0.192612376064 0.221038632095 0.248974777758 0.27568565309 0.301661372185 0.326656877995 0.350917205215 0.373952284455 0.396007120609 0.417571872473 0.438156396151 0.457515656948 0.476139754057 0.494028687477 0.510692358017 0.526620864868 0.541569173336 0.555782288313 0.569015204906 0.581267893314 0.592540383339 0.603077679873 0.612634807825 0.62121167779 0.628808349371 0.635669857264 0.641551166773 0.646452218294 0.650618165731 0.653803855181 0.655764311552 0.657234638929 0.657724708319 0.657234638929 0.655764311552 0.653558820486 0.650373071432 0.646452218294 0.641551166773 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0.0122526958585 0.0122526958585 0.0122526958585 0.0122526958585 119 118 0 2 101 109 Velocity G m/s 1 0 0 1584395328 1584395328 0 0 1 3 0 0 0 6 120 0 0 0 CC_MDV 0x0000 0x0073 0x0077 0 0 0.000408415993055 0.00153157032198 0.00578594497508 0.0107211164302 0.0211019017216 0.0457773916423 0.0910442943374 0.155200804066 0.226674886006 0.301041968891 0.384598520274 0.478706009502 0.579280243013 0.67032457567 0.725631881505 0.739245981499 0.725121348821 0.704530013496 0.682407084645 0.65926313659 0.637140249213 0.614676898759 0.590682029724 0.566006420801 0.54524489161 0.524483434856 0.499978030307 0.476323544151 0.455051494969 0.431737386518 0.408253115084 0.386130271686 0.364347609381 0.342224579718 0.318570062518 0.294915566014 0.272622414761 0.250329387685 0.22667489118 0.2030202705 0.180727243423 0.158604400025 0.13546033038 0.113167324 0.0905339916547 0.0658584137758 0.0437354875935 0.02297365831 -0.000170162982411 -0.0236543516318 -0.0457775675588 -0.0673902531465 -0.0888323618306 -0.110274160074 -0.131716517111 -0.152988607685 -0.173920061853 -0.193830662304 -0.215272957252 -0.238246801827 -0.260369831489 -0.28249281976 -0.305466457374 -0.326738547948 -0.346308863825 -0.366219526364 -0.389023125172 -0.411996886962 -0.432418038448 -0.453519841863 -0.474791973829 -0.496064095447 -0.516995704836 -0.536906263895 -0.558178364817 -0.58064163766 -0.601062825364 -0.622505047876 -0.644798157737 -0.664708765948 -0.68461937707 -0.706742327182 -0.727674003186 -0.743670580495 -0.745712706703 -0.69159662461 -0.537416858586 -0.352435158048 -0.189236049644 -0.0595617263267 -0.00459477305412 0.00952988759511 0.0144650124841 0.0102105757429 0.00238247319228 -0.00170174365242 -0.00255266204476 -0.00170177987052 0.00153160654008 0.00204214205345 0.000680714017815 0.000170178504454 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 122 121 0 1 101 Acceleration G m/s² 1 0 0 1584395328 1584395328 0 0 1 3 0 0 0 7 123 0 0 0 CC_MDA 0x0000 0x0073 0x0077 0.00382891430715 0.0128339879778 0.0305606302357 0.0705993137851 0.132335947085 0.250845106267 0.503438026903 0.891534401029 1.31378508134 1.63192060786 1.8237234577 2.0000446343 2.20271958897 2.33259744478 2.21241054987 1.6939635354 0.891416648526 0.139686361774 -0.314708015061 -0.495047600419 -0.552718245638 -0.563472348752 -0.565954790231 -0.579900219304 -0.589236164003 -0.567136703916 -0.544564046086 -0.563945080855 -0.582144611492 -0.569144958044 -0.565835644123 -0.574580317559 -0.567135176863 -0.555673197349 -0.556265420775 -0.570328291046 -0.581081660556 -0.574227169524 -0.566781547357 -0.574344734627 -0.581790787961 -0.573517970258 -0.56288095858 -0.564654136399 -0.567135622403 -0.569143585493 -0.580962126454 -0.574581963183 -0.55201176301 -0.555556049042 -0.570444390178 -0.565365434015 -0.550595505945 -0.540902033264 -0.536879352121 -0.535343719048 -0.532037178974 -0.525654169995 -0.518208648435 -0.525419413469 -0.547638039369 -0.557919955571 -0.556737880142 -0.557208873539 -0.544445399471 -0.519038244139 -0.510765886348 -0.532746493219 -0.553545182755 -0.542318247213 -0.528373409143 -0.528846960802 -0.528847679415 -0.524828591338 -0.517264225543 -0.521282929163 -0.536292137429 -0.535110381783 -0.530855953305 -0.536291936442 -0.525419310617 -0.512301381762 -0.519510500049 -0.503674741426 -0.376751477346 0.0210356212151 0.967877920764 2.49083809301 3.75416112805 4.00753465901 3.42739837104 2.29135312313 1.10803711491 0.397551040895 0.0589707741272 -0.0974969696943 -0.117705253896 -0.064643534665 -0.00744538861729 0.032144663338 0.0314356580975 0.000354516992552 -0.013708827563 -0.00957254087552 -0.0038999240604 -0.000827256618872 -0.000118179516982 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 160 1 101 Data Set 2 - Part 2 0 0 161 113 0 2 101 110 Time s 1 1 0 0 1584395328 1584395328 0 0 1 2 0 0 0 4 0 0 1 0 Time 0.02 0.06 0.1 0.14 0.18 0.22 0.26 0.3 0.34 0.38 0.42 0.46 0.5 0.54 0.58 0.62 0.66 0.7 0.74 0.78 0.82 0.86 0.9 0.94 0.98 1.02 1.06 1.1 1.14 1.18 1.22 1.26 1.3 1.34 1.38 1.42 1.46 1.5 1.54 1.58 1.62 1.66 1.7 1.74 1.78 1.82 1.86 1.9 1.94 1.98 2.02 2.06 2.1 2.14 2.18 2.22 2.26 2.3 2.34 2.38 2.42 2.46 2.5 2.54 2.58 2.62 2.66 2.7 2.74 2.78 2.82 2.86 2.9 2.94 2.98 3.02 3.06 3.1 3.14 3.18 3.22 3.26 3.3 3.34 3.38 3.42 3.46 3.5 3.54 3.58 3.62 3.66 3.7 3.74 3.78 3.82 3.86 3.9 3.94 3.98 4.02 4.06 4.1 4.14 4.18 4.22 4.26 4.3 4.34 4.38 4.42 4.46 4.5 4.54 4.58 4.62 4.66 4.7 4.74 4.78 4.82 4.86 4.9 4.94 4.98 162 115 0 1 101 Position G m 1 0 0 1584395328 1584395328 0 0 1 3 0 0 0 0x0000 0x0073 0x0077 5 0 1 1 1 Position G -0.00196044147015 -0.00196044147015 -0.00196044147015 -0.00196044147015 -0.000980213284492 0.00171537697315 0.00563623011112 0.0110274255276 0.0198493674397 0.0333273261786 0.0499909967184 0.0686150938272 0.0879743546247 0.106353398412 0.123507171869 0.139925784431 0.155364181846 0.170067418367 0.183790437877 0.196533240378 0.20854087919 0.219323255122 0.229370467365 0.238682515919 0.247014351189 0.254365965724 0.260737374425 0.266373604536 0.271029636264 0.274950489402 0.277646094561 0.27960652113 0.280586734414 0.28083178401 0.280096620321 0.278381243348 0.275930717587 0.272745013237 0.268579095602 0.263432964683 0.257551670074 0.250935211778 0.24309348315 0.234761655331 0.225449599326 0.215402394533 0.204374969006 0.192612376064 0.179869573563 0.166146554053 0.151933426037 0.136740083806 0.120566524565 0.10365780443 0.0857688672841 0.0671447739005 0.047785513103 0.0276910886168 0.00637140125036 -0.00906699895859 0.000980213284492 0.015193335712 0.0289163589478 0.0419042184949 0.0536668077111 0.0646942332387 0.0747414417565 0.0838084369898 0.0921402685344 0.0994918867946 0.106108343229 0.111744584516 0.116400607862 0.120076416992 0.123017064296 0.124977495521 0.126202764921 0.126202764921 0.125712657347 0.123997279909 0.121546740644 0.118361040018 0.114195123315 0.109294043854 0.103412751108 0.0967962928116 0.0891996249557 0.0806227363646 0.0715557411313 0.0615085288882 0.0507261604071 0.0389635711908 0.0262207686901 0.0127428025007 -0.00147032737732 -0.00392086803913 0.0066164508462 0.0159284994006 0.0247504413128 0.0325921699405 0.0394536778331 0.0453349724412 0.0504811033607 0.0546470209956 0.0578327178955 0.0602832585573 0.0617535859346 0.0622436925769 0.0619986355305 0.0607733651996 0.0588129386306 0.0558722913265 0.0521964803338 0.047785513103 0.0423943251371 0.0360229238868 0.0289163589478 0.0210746303201 0.0122526958585 0.00245054066181 -0.00416591763496 0.00269559025764 0.00931204855442 0.0149482861161 0.0198493674397 163 118 0 1 101 Velocity G m/s 1 0 0 1584395328 1584395328 0 0 1 3 0 0 0 0x0000 0x0073 0x0077 6 164 0 0 0 CC_MDV 0 0.00102107102672 0.00510532408953 0.0190598476264 0.04781961648 0.0835565280997 0.126100657508 0.190087009428 0.278238279538 0.365538745084 0.428674196721 0.461518223811 0.463049809009 0.443819869542 0.420675889149 0.398382800631 0.376600239866 0.35464748572 0.331333306127 0.30869983861 0.285045360215 0.261901412159 0.241310061473 0.219527487126 0.196043138082 0.172388641578 0.150265679177 0.12848310483 0.10636019417 0.0827057183617 0.0590512218575 0.036928212891 0.0151456230217 -0.00680710913406 -0.0297808502283 -0.0512229692605 -0.0713037947814 -0.092746100078 -0.11554972993 -0.137162130947 -0.157583313477 -0.180046601842 -0.201318604458 -0.221229241126 -0.242160920364 -0.263432930741 -0.285045378324 -0.306827953965 -0.329291206759 -0.349201839547 -0.369112465867 -0.391575741944 -0.413358313057 -0.434800526515 -0.455562016901 -0.474962123877 -0.490278034057 -0.476493735591 -0.363326476266 -0.0728354892797 0.208465982642 0.313634979021 0.327929833697 0.309040249946 0.285555890554 0.26292241075 0.239608253145 0.217655511935 0.196043127734 0.174430750647 0.152307831579 0.128653311145 0.104998794591 0.0828758768168 0.0610933044097 0.0391405547917 0.015996574075 -0.00612634628649 -0.0280790926707 -0.0507125462819 -0.0709635292878 -0.0920653960849 -0.113337445267 -0.134779657755 -0.156392054244 -0.178174611129 -0.200637883972 -0.220378358952 -0.239778460107 -0.260710123823 -0.282492687822 -0.305466509114 -0.318059568397 -0.293043674901 -0.160986847348 0.0561581717597 0.19246943088 0.217825717603 0.206764275208 0.183620277999 0.160135923781 0.137842819095 0.115719892912 0.0925759008775 0.0704529902173 0.0483301106013 0.0251861133923 0.00323332432244 -0.0183790663464 -0.0398212371187 -0.0610932707787 -0.0820249939958 -0.101935615142 -0.123377832481 -0.146181477855 -0.167623700367 -0.18770451554 -0.206423861285 -0.208465951598 -0.154520105571 -0.00884919427335 0.115549724756 0.141110215336 0.138523546048 0.128993702432 165 121 0 2 101 110 Acceleration G m/s² 1 0 0 1584395328 1584395328 0 0 1 3 0 0 0 0x0000 0x0073 0x0077 7 166 0 0 0 CC_MDA 0.0605075821326 0.134664397244 0.281996994831 0.52648309739 0.786473654803 1.03523875702 1.38646473513 1.80280543713 1.98940828767 1.73969864534 1.16109913686 0.476848259428 -0.104469483047 -0.432531600786 -0.538300740084 -0.552718401319 -0.553309454304 -0.563945707396 -0.572690869039 -0.576472161305 -0.573871924037 -0.553072854984 -0.544918881065 -0.563000210627 -0.576945183436 -0.56950010023 -0.556264188353 -0.556381979819 -0.570208526987 -0.580253807489 -0.570091303225 -0.55543744195 -0.551418612573 -0.554963071072 -0.547753685775 -0.529318629695 -0.528729054358 -0.544328725448 -0.546810046172 -0.534874004783 -0.535937501865 -0.536409819306 -0.521282898621 -0.517501315766 -0.526246444623 -0.535228376706 -0.541610185152 -0.543382449883 -0.528964613935 -0.514546965725 -0.52884653682 -0.54255520539 -0.537591665677 -0.521637533736 -0.470230231179 -0.269091628362 0.433949412301 2.09234161351 4.52621761791 5.78800426512 4.40106745148 1.99283628055 0.365052126451 -0.348861751802 -0.538892195492 -0.569145594915 -0.562881859092 -0.549173033326 -0.545273066598 -0.552245643278 -0.569381659766 -0.580135956737 -0.570090754384 -0.555554818192 -0.552364039726 -0.559691062212 -0.561463697253 -0.554373012243 -0.550945875642 -0.536882707146 -0.525419456585 -0.529083013752 -0.533455551906 -0.538537139316 -0.542200596775 -0.542673323601 -0.524946815319 -0.504147470048 -0.511001523176 -0.52577373913 -0.493275075303 -0.234938170588 0.550827308972 2.06492406303 3.60951100312 3.63787397581 2.10758696747 0.577890756109 -0.22442002111 -0.511356525232 -0.562763953995 -0.561936593178 -0.56370918892 -0.563118097309 -0.558627045708 -0.562172625243 -0.558864155692 -0.547282584586 -0.539364104222 -0.532864252347 -0.525774038253 -0.518092567268 -0.524474049194 -0.542791755755 -0.541609985737 -0.506510945859 -0.393886904571 -0.0070901781631 0.893661937745 2.14672660064 2.6557669313 1.78210089956 0.667020591209 0.105202527513 -0.15093632442 111 0 120 0 119 116 114 derivative() 123 0 122 116 114 secondDerivative() 131 0 127 126 125 derivative() 132 0 129 126 125 secondDerivative() 140 0 136 135 134 derivative() 141 0 138 135 134 secondDerivative() 149 0 145 144 143 derivative() 150 0 147 144 143 secondDerivative() 158 0 154 153 152 derivative() 159 0 156 153 152 secondDerivative() 167 0 163 162 161 derivative() 168 0 165 162 161 secondDerivative() 0 1 0.020000000000 5.000000000000 251 0 0 0 0 0.000000000000 0 112 s0V1_479 479 1 0 0 0 0 0 m m 479 1 2 0 1 1 111 162