Hi, I need help with my physics Kinematics lab. I have attached the instructions and the data which I received from my iOLab Device. I have attached my graph and also my data for questions 11-15. I need you to complete all of the data analysis portion, thank you! This is due Friday 11pm PST.3 attachmentsSlide 1 of 3

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LINEAR KINEMATICS EXPERIMENT THEORY Physicists use the quantities of displacement, velocity, and acceleration to describe an object’s motion. Velocity is defined to be an object’s rate of change of displacement, while acceleration is defined to be an object’s rate of change of velocity. The rate of change refers to the slope of a curve at a specific moment in time. A curve is the collection of graphed values over an interval of time which are connected together. This implies that the slope of the line tangent to position vs time curve is velocity and the slope of the the line tangent to velocity vs time curve is acceleration. In a similar manner, the area under the velocity curve between two moments in time is equal to the object’s displacement while the area under the acceleration curve between two moments in time is equal to the object’s change in velocity. EQUIPMENT INTRODUCTION Throughout the semester we will be using hardware called iOLab. The primary components consist of two pieces as seen in Figure 1. Inside the iOLab box, there should also be the supplemental items as seen in Figure 2. Figure 1 – The two primary components. The dongle is initially embedded in the rear of the device, but it is detachable. Figure 2 – The six supplemental pieces used for various experiments throughout the semester. PROCEDURE: 1. Install the iOLab software onto your desktop or laptop computer. • Navigate to http://www.iolab.science/running-application.html • Download the package appropriate to your operating system. • Double-click on the file to install the software. 2. Calibrate the Acceleration sensor. • Place the device onto a flat table with its wheels facing upwards. • Turn on the device. • Plug the dongle into any USB port of a desktop or laptop computer. • Click on the tools button in top right corner of the software, as shown in Figure 3. • Scroll down the menu options and highlight ‘Calibration’. • Click on ‘Accel-magn-gyro’. Figure 3 – The calibration menu and its associated options. 3. Turn the device over, with its wheels facing down. 4. Within the iOLab software, check the following sensors: Wheel-Position, Wheel-Velocity, and Wheel-Acceleration. • A menu of all the possible sensors can be found on the left-hand side of the screen. 5. Click the “Record” button. 6. Place your hands approximately shoulder-width apart on the table and hit the device between your hands a few times. • The device should roll back-and-forth, quickly changing direction. 7. Stop recording data and keep the motion only in the 𝑦𝑦 direction. • Figure 4 shows an example of what should be displayed in the software. o If you don’t like the data, then you can hit the ‘Remove’ button and record new data. • All data that you take will be saved within the software. • Click on the folder button and you will see all the data you have taken in the order it was taken. • The most recent data will be at the top of the list and each item in the list will be time stamped and marked by the sensors used. Figure 4 – Sample data from the position, velocity, and acceleration sensors. 8. Click the zoom button shown in Figure 5. Analysis Mode Move the position of the plot Zoom Button Figure 5 – The three buttons that allow analysis of the recorded data. 9. Zoom in on a section of the graph that shows the motion of two ‘hits’. • Figure 6 shows an example of what should be displayed in the software. • Upload a PDF copy of this graph into Canvas. Figure 6 – Sample data from the position, velocity, and acceleration sensors that has been zoomed in. 10. Click on the analysis button as seen in Figure 4. • Analysis mode allows specific sections of the plots to be highlighted. • When highlighting a section of the plot, you will get the following information about the data: 𝜇𝜇 – average value of the highlighted portion 𝜎𝜎 – standard deviation of the highlighted portion 𝑎𝑎 – area under the curve 𝑠𝑠 – slope of the highlighted section (along with the trendline’s 𝑅𝑅2 value) 11. Highlight the section of the displacement plot corresponding to when the device was moving away from your left hand. • Record the slope. 12. Move the cursor to the first and last data points of the highlighted section. • Record each value that is displayed. 13. Highlight the same interval of time for the velocity plot. • Record the average value. • Record the area under the curve. 14. Highlight an interval of time for the acceleration plot which corresponds to a ‘spike’. • Record the area under the curve. 15. Highlight data in the velocity plot before and after the acceleration ‘spike’. • Record the average value for each interval of time. DATA ANALYSIS: 1. Show the following percent difference calculations: • Left-hand Bounce • i. Slope of the displacement plot versus the average value from the velocity plot. Acceleration ‘Spike’ i. Change in average velocity from the velocity plot versus the area under curve from the acceleration plot. DATA TABLE: LEFT-HAND BOUNCE SLOPE 𝑣𝑣𝑎𝑎𝑎𝑎𝑎𝑎 ( 𝑚𝑚⁄𝑠𝑠 ) Displacement Plot Velocity Plot AVERAGE VALUE 𝑣𝑣𝑎𝑎𝑎𝑎𝑎𝑎 ( 𝑚𝑚⁄𝑠𝑠 ) INITIAL POSITION 𝑥𝑥0 ( 𝑚𝑚 ) TIME PERIOD ∆𝑡𝑡 ( 𝑠𝑠 ) FINAL POSITION 𝑥𝑥 ( 𝑚𝑚 ) AREA UNDER CURVE ∆𝑥𝑥 ( 𝑚𝑚 ) DATA TABLE: ACCELERATION ‘SPIKE’ Acceleration Plot Velocity Plot AREA UNDER CURVE ∆𝑣𝑣 ( 𝑚𝑚⁄𝑠𝑠 ) INITIAL AVERAGE SPEED 𝑣𝑣𝑎𝑎𝑎𝑎𝑎𝑎,0 ( 𝑚𝑚⁄𝑠𝑠 ) Left-Hand Bounce FINAL AVERAGE SPEED 𝑣𝑣𝑎𝑎𝑎𝑎𝑎𝑎 ( 𝑚𝑚⁄𝑠𝑠 ) Average Velocity Percent Difference: 𝑃𝑃𝑃𝑃 = � 𝑃𝑃𝑃𝑃 = � 𝑃𝑃𝑃𝑃 = 𝐸𝐸1 − 𝐸𝐸2 � × 100% 𝐸𝐸1 + 𝐸𝐸2 2 2 � × 100% Displacement Percent Difference: 𝑃𝑃𝑃𝑃 = � 𝑃𝑃𝑃𝑃 = � 𝑃𝑃𝑃𝑃 = 𝐸𝐸1 − 𝐸𝐸2 � × 100% 𝐸𝐸1 + 𝐸𝐸2 2 2 � × 100% Acceleration ‘Spike’ Change in Velocity Percent Difference: 𝑃𝑃𝑃𝑃 = � 𝑃𝑃𝑃𝑃 = � 𝑃𝑃𝑃𝑃 = 𝐸𝐸1 − 𝐸𝐸2 � × 100% 𝐸𝐸1 + 𝐸𝐸2 2 2 � × 100% TABLE OF RESULTS: LEFT HAND BOUNCE VARIABLE COMPARISON Displacement Plot Slope vs. Velocity Plot Average Value PERCENT DIFFERENCE 𝑃𝑃𝑃𝑃 (%) Displacement Plot Change In Position vs. Velocity Plot Area Under Curve TABLE OF RESULTS: ACCELERATION ‘SPIKE’ VARIABLE COMPARISON Velocity Plot Change In Average Value vs. Acceleration Plot Area Under Curve PERCENT DIFFERENCE 𝑃𝑃𝑃𝑃 (%) Wheel – Position (100 Hz) 2.0 1.5 1.0 0.5 ry (m) 0.0 -0.5 -1.0 -1.5 -2.0 3.4 3.6 3.8 4.0 4.2 4.4 4.6 3.2 Rezero sensor Time (s) Wheel – Velocity (100 Hz) Vy (m/s) 3.0 2.5 2.0 1.5 1.0 0.5 0.0 -0.5 – 1.0 -1.5 -2.0 -2.5 -3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4 4.6 Time (s) Wheel – Acceleration (100 Hz) 12 10 8 6 

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