Physics 11 Describing Constant Acceleration Lab Activity Purpose: Describe constant acceleration using a motion diagram, graphical and mathematical analysis. Develop an operational definition of constant acceleration. 1 2 3 4 Outcomes Met: Identify the frame of reference for a given motion and to distinguish fixed and moving frames. Identify and investigate questions that arise from practical problems and issues involving motion. Analyse word problems, solve algebraically for unknowns, and interpret patterns in data. Procedure: 1. Use an inclined air table, spark timer and sheet of paper to generate a motion diagram for a puck moving at constant acceleration. 2. Using a ruler, determine the interval on the motion diagram that displays constant acceleration. 3. Mark the first distinguishable dot in that interval as “0” (or reference point). 4. Measure the distance from “0” to the next dot. 5. Measure the distances to each successive dot from the reference point. Be sure to account for the precision of your ruler by using the appropriate number of significant digits. 6. Create a position-time table of your measurements. Data Analysis: 1. Create a position-time graph of your data. Be sure to properly scale and label the axes. Entitle your graph. 2. Use a flexible ruler (or a steady free hand) to draw the curve of best fit that appropriately models this data. 3. Find the average velocity between each two successive time intervals. This will represent the instantaneous velocity since the position-time graph is parabolic. Draw a tangent line at t = 0.05s. 4. Make an instantaneous velocity-time table of your measurements. 5. Create an instantaneous velocity-time graph of your data. 6. Draw the line of best fit and find its slope. This slope represents the constant acceleration of the puck. Summary Questions: 1. What is the constant acceleration of the puck? (Be sure to include a direction in your answer) 2. How do you know that your line of best fit appropriately models the instantaneous velocity-time data? 3. Suppose the puck was allowed to accelerate at the rate you measured for 4.5 s. What would be its final velocity at that time. Show the worked solution to this problem. 4. Suppose the puck was allowed to accelerate at the rate you measured and reached a velocity of 10.0 m/s. How long would the puck take to reach this velocity. Show the worked solution to this problem. 5. Write an operational definition of constant acceleration using the air table experiment as context. Lab Report Submission Students should include the following items in their lab report: 1. Title/Date(s) of lab activity 2. Purpose 3. Theory of the concept of constant acceleration. This section would include: a. Define instantaneous velocity and acceleration. b. Define parabola. c. Explanation of relevant equations and statistics used. 4. Brief overview of procedure (not as outlined verbatim). 5. Data analysis. This section would include: a. Data table of position and time. b. Graph of position vs. time. Be sure to scale and label axes. Always include origin (0,0) on the graph. Graph should be include a descriptive title (do not use ‘position vs. time graph’) c. Graph of the quadratic regression equation. d. Tangent lines and three examples of calculations for slopes of tangent lines. e. Data table of instantaneous velocity and time. f. Graph of instantaneous velocity and time. g. Graph of linear regression equation. 6. Answers to the summary questions. 7. Description of sources of error (never use ‘human error’ as an example; be specific) 8. Conclusion (the operational definition of constant acceleration and the actual constant acceleration of the puck would be included here) Due Date: ________________________________