Lab analysis of 1d motion

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Lab: Video Analysis of 1D Motion Chase Marangu Miles Nguyen Jaden Lee Yosef Samara Table of Contents Table of Contents Ping Pong Ball Flat Surface 1. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture (Google how to take a screen capture using your computer if you don't know how to do so) of your computer screen showing: 1. A still picture from your video that shows the points you have placed. 2. The X vs. Time graph, zoomed in on the data as much as possible. 3. The X-Velocity vs. Time graph, zoomed in on the data as much as possible. 2. Would you describe the X vs. Time graph as flat, linear, curved, or something else? (There will inevitably be some noise in the data, so use your best judgment to characterize the overall shape of the graph). Does this indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? 3. Would you describe the X-Velocity vs. Time graph as flat, linear, curved, or something else? Does this above result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Is that result consistent with your answer from the previous question? 4. Locate a part of the X vs. Time graph that looks more or less linear. Highlight that section of the graph by clicking and dragging across it horizontally. Then click Analyze- >Linear Fit. Note that the parameters of the best fit line are displayed in the box that pops up. What is the resulting slope (be sure to include units), and what is the physical meaning of that slope? 5. Is the slope of the X vs. Time graph positive or negative? What does that tell you about the motion? 6. Click on the X-Velocity vs. Time graph. Then click Analyze-> Examine and note how you can highlight a data point and display its exact values. Select a point in the same time range you used for the linear fit above and note the X-Velocity at that point. How does it compare to the velocity (slope) you found from the linear fit? Book Flat Surface

7. Repeat the video analysis for the sliding object. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture showing: A still picture from your video that shows the points you have placed. The X vs. Time graph, zoomed in on the data as much as possible. The X-Velocity vs. Time graph, zoomed in on the data as much as possible. 8. Would you describe the X vs. Time graph as flat, linear, curved, or something else? (There will inevitably be some noise in the data, so use your best judgement to characterize the overall shape of the graph). Does this result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? 9. Would you describe the X-Velocity vs. Time graph as flat, linear, curved, or something else? Does this result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Is this result consistent with your answer from the previous question? 10. Locate a part of the X-Velocity vs. Time graph that looks more or less linear. Highlight that section of the graph by clicking and dragging across it horizontally. Then click Analyze->Linear Fit. Note that the parameters of the best fit line are displayed in the box that pops up. What is the resulting slope (with units), and what is the physical meaning of that slope? 11. Is the X-acceleration the same sign or the opposite sign as the X-Velocity? What does comparing the signs of the X-acceleration and X-velocity tell you about the motion? Ping Pong Ball Slanted Surface 12. Repeat the video analysis for the object rolling up and down an incline. Here, there is some motion in the y direction, but we will focus on the x motion for simplicity. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture showing: A still picture from your video that shows the points you have placed. The X vs. Time graph, zoomed in on the data as much as possible. The X-Velocity vs. Time graph, zoomed in on the data as much as possible. 13. Would you describe the X vs. Time graph as flat, linear, curved, or something else? (There will inevitably be some noise in the data, so use your best judgement to characterize the overall shape of the graph). Does this result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? 14. Would you describe the X-Velocity vs. Time graph as flat, linear, curved, or something else? Does the above result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Is this consistent with the result from the previous question? 15. Locate a part of the X-Velocity vs. Time graph that looks more or less linear. Highlight that section of the graph by clicking and dragging across it horizontally. Then click Analyze->Linear Fit. Note that the parameters of the best fit line are displayed in the box that pops up. What is the resulting slope (with units), and what is the physical meaning of that slope?

16. For what part of the motion (upwards or downwards motion) is the acceleration the same sign as the X-Velocity, and for what part of the motion is the acceleration the opposite sign as the X-Velocity? How can you tell whether an object is speeding up or slowing down? Book Slanted Surface 17. Repeat the video analysis for the object sliding up and down an incline. Here, there is some motion in the y direction, but we will focus on the x motion for simplicity. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture showing: A still picture from your video that shows the points you have placed. The X vs. Time graph, zoomed in on the data as much as possible. The X-Velocity vs. Time graph, zoomed in on the data as much as possible. 18. Do two linear fits on the X-Velocity vs. time graph. The first should use just data points on the way up, and the second just data points on the way down. Report the resulting slopes with units. 19. You should see that the acceleration on the way up and the acceleration on the way down are different: often, this can be seen on the X-Velocity vs. time graph as well. Why is this? (Hint: consider the directions of the frictional force, which is opposite the direction of motion, and the gravitational force as the object goes both up and down).

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Ping Pong Ball Flat Surface 1. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture (Google how to take a screen capture using your computer if you don't know how to do so) of your computer screen showing: 1. A still picture from your video that shows the points you have placed. 2. The X vs. Time graph, zoomed in on the data as much as possible. 3. The X-Velocity vs. Time graph, zoomed in on the data as much as possible. 2. Would you describe the X vs. Time graph as flat, linear, curved, or something else? (There will inevitably be some noise in the data, so use your best judgment to characterize the overall shape of the graph). Does this indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Ping Pong Ball Flat Surface X vs time graph is linear This indicates constant velocity, with zero acceleration Ping Pong Ball Slanted Surface

X vs time graph is a constant velocity with zero acceleration also. 3. Would you describe the X-Velocity vs. Time graph as flat, linear, curved, or something else? Does this above result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Is that result consistent with your answer from the previous question? Ping Pong Ball Flat Surface X velocity vs time graph is linear Zero acceleration Ping Pong Ball Slanted Surface X velocity vs time graph is a constant velocity zero acceleration also. Book Flat Surface X velocity vs time is curved. Not linear acceleration. 4. Locate a part of the X vs. Time graph that looks more or less linear. Highlight that section of the graph by clicking and dragging across it horizontally. Then click Analyze->Linear Fit. Note that the parameters of the best fit line are displayed in the box that pops up. What is the resulting slope (be sure to include units), and what is the physical meaning of that slope? X = m⋅b + t m ≈ 0.3876 m/s Correlation 0.9999 5. Is the slope of the X vs. Time graph positive or negative? What does that tell you about the motion?

Ping Pong Ball Flat Surface X vs time graph is positive slope , this tells us that the velocity is positive Ping Pong Ball Slanted Surface X vs time graph is positive slope so its velocity is positive Book Flat Surface Slope of x vs time graph decreases, this tells us that the velocity is decreasing. 6. Click on the X-Velocity vs. Time graph. Then click Analyze-> Examine and note how you can highlight a data point and display its exact values. Select a point in the same time range you used for the linear fit above and note the X-Velocity at that point. How does it compare to the velocity (slope) you found from the linear fit? X velocity = 0.391 m/s At time = 2.043 s This is close to the 0.3876 m/s from the slope of the position vs time graph.

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Book Flat Surface 7. Repeat the video analysis for the sliding object. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture showing: 1. A still picture from your video that shows the points you have placed. 2. The X vs. Time graph, zoomed in on the data as much as possible. 3. The X-Velocity vs. Time graph, zoomed in on the data as much as possible.

8. Would you describe the X vs. Time graph as flat, linear, curved, or something else? (There will inevitably be some noise in the data, so use your best judgement to characterize the overall shape of the graph). Does this result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? The X vs time graph appears curved. The velocity is positive and decreasing. The motion slows down to a stop, indicating negative (but not necessarily constant) acceleration. 9. Would you describe the X-Velocity vs. Time graph as flat, linear, curved, or something else? Does this result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Is this result consistent with your answer from the previous question? The X-velocity vs time graph appears curved. It suggests decreasing velocity and negative (but not necessarily constant) acceleration. 10. Locate a part of the X-Velocity vs. Time graph that looks more or less linear. Highlight that section of the graph by clicking and dragging across it horizontally. Then click Analyze->Linear Fit. Note that the parameters of the best fit line are displayed in the box that pops up. What is the resulting slope (with units), and what is the physical meaning of that slope? This line that appears is the average velocity over that time segment. Its units are m/s since its a velocity and we got -3.21 m/s

11. Is the X-acceleration the same sign or the opposite sign as the X-Velocity? What does comparing the signs of the X-acceleration and X-velocity tell you about the motion? The X-acceleration is the opposite sign of the x-velocity. This is expected because the Friction force acts in the opposite direction of the velocity.

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Ping Pong Ball Slanted Surface 12. Repeat the video analysis for the object rolling up and down an incline. Here, there is some motion in the y direction, but we will focus on the x motion for simplicity. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture showing: 1. A still picture from your video that shows the points you have placed. 2. The X vs. Time graph, zoomed in on the data as much as possible. 3. The X-Velocity vs. Time graph, zoomed in on the data as much as possible. The first point is 0,0. Idk why the thing is just being bad) ( 13. Would you describe the X vs. Time graph as flat, linear, curved, or something else? (There will inevitably be some noise in the data, so use your best judgement to characterize the overall shape of the graph). Does this result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? The X vs time graph appears curved. This suggests increasing velocity and constant

acceleration. 14. Would you describe the X-Velocity vs. Time graph as flat, linear, curved, or something else? Does the above result indicate that the motion is constant position, constant velocity, constant acceleration, or none of the above? Is this consistent with the result from the previous question? The X-velocity vs time graph appears to be positively sloped. This is consistent with the previous question (13). Because it indicates a nonzero acceleration. 15. Locate a part of the X-Velocity vs. Time graph that looks more or less linear. Highlight that section of the graph by clicking and dragging across it horizontally. Then click Analyze->Linear Fit. Note that the parameters of the best fit line are displayed in the box that pops up. What is the resulting slope (with units), and what is the physical meaning of that slope? The slope is 3.982 ft/s/s. This slope means feet traveled per second squared. This measurement is the change in velocity in the unit ft per second, then divided by the time it is displaced. 16. For what part of the motion (upwards or downwards motion) is the acceleration the same sign as the X-Velocity, and for what part of the motion is the acceleration the opposite sign as the X-Velocity? How can you tell whether an object is speeding up or slowing down? The acceleration is the same sign as the velocity throughout the motion because the ball is rolling down and gravity is pushing it.

Book Slanted Surface 17. Repeat the video analysis for the object sliding up and down an incline. Here, there is some motion in the y direction, but we will focus on the x motion for simplicity. Zoom in on the data in both graphs so that the data takes as much space as possible in the graphs. If there are any outliers this likely indicates you made a mistake while placing points: identify the source of the incorrect point and correct the error. Once you have done this, upload a screen capture showing: 1. A still picture from your video that shows the points you have placed. 2. The X vs. Time graph, zoomed in on the data as much as possible. 3. The X-Velocity vs. Time graph, zoomed in on the data as much as possible.

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18. Do two linear fits on the X-Velocity vs. time graph. The first should use just data points on the way up, and the second just data points on the way down. Report the resulting slopes with units. The Slope is m ≈ 2.274 m/s. This is because the book was sliding at an approximately linear rate. 19. You should see that the acceleration on the way up and the acceleration on the way down are different: often, this can be seen on the X-Velocity vs. time graph as well. Why is this? (Hint: consider the directions of the frictional force, which is opposite the direction of motion, and the gravitational force as the object goes both up and down). If the book was sliding up then down, then the acceleration on the way up would be lower magnitude than the acceleration on the way down. This is because the friction force opposes the velocity, while acceleration from gravity is constant. So on the way up the net force is -Kinetic Friction - Gravity while on the way down the net force is +Kinetic Friction - Gravity

Lab analysis of 1d motion

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