Objective: To be able to… analyze displacement and time data to determine whether motion is uniform. relate the slope of a position v. time graph to the mean of a velocity v. time graph. determine based on the data plot lines on a position v. time graph which of two data runs is faster. Safety: Take care not to release the car’s plunger in such a way that it strikes a person or lab equipment. Procedure: 1. Set up your PASCO system like this and open the file “03: Velocity.” Motion Sensor Car Track 2. Time to experiment! Assign one person to the computer and one person to start the car…and one person to catch the car just before it hits the motion sensor. Then… a. Push the plunger into your car so that it clicks two times. b. Position your car at the end of the track opposite from the motion sensor. c. Press “Start” to start monitoring data on your computer. You should hear a clicking noise from the motion sensor. If you don’t, call your teacher over. (Note: You don’t have to release your cart immediately upon pressing start. You’ll be able later to disregard the data that the computer collects before the car moves.) d. Press the plunger to release the car. e. Press “Stop” to stop timing at some time after the car reaches the motion sensor. 3. Time to collect data! For now you should jot this data down on paper, although later you’ll type it into Excel and insert it into the “Data Tables & Graphs” portion of typed lab report. Your data table should allow you to record the time it took the car to travel between every 10cm position interval from position 90cm through position 20cm. (For example, from 90cm to 80cm, from 80cm to 70cm, etc.) It is up to you to decide how to arrange this table, although please keep in mind that a good data table: Is easy to read. Has the variables that are being presented clearly labeled. Has the units for those variables clearly labeled. Matches the precision of the original data. (This means all the numbers in the table should have the same number of digits as the computer.) To collect the data, look at the top graph (position v. time). You’ll need to find initial and final times for each interval and subtract to find the time it took the car to travel from one position to the next position 10cm farther down the track. a. Use the Smart Tool to find the time at the beginning of the car’s motion. This will be t1. b. Use the Smart Tool to find the time (t2) at the first checkpoint position. Then use the formula t = t2 – t1 to find the time it took for the car to reach this position from when you pressed the plunger. c. For each successive position, t2 will become the new t1, and you’ll have to use the Smart Tool to find the new t2. t2 t1 DO NOT CLEAR THE COMPUTER SCREEN UNTIL THE LAB IS OVER! 4. Now click and drag the mouse on your computer screen over the part of the graph that shows when the cart was moving from position 90cm to position 10cm. This will highlight the relevant part of the graph. Then call your teacher over to check that you’ve highlighted the right part. 5. Then click on the “Fit” box and select “Linear Fit.” Look in the box that appears and read the slope of the graph. This shows the slope only over the highlighted part, which is the only part in which you’re interested. Record this slope clearly near your data table when you write your lab report. Be sure to use proper units (y-axis units/x-axis units.) 6. In the bottom graph (velocity v. time) highlight the data for the time period during which the car traveled from 90cm to 20cm. Record the mean velocity of this highlighted region near your other data. Be sure to record units. 7. Do not clear the computer screen. Repeat steps 4-6, this time pressing the plunger in so that it clicks three times. Record all of your data as before in new data tables. (Note: You are only returning to step 4, not all the way to the beginning.) DO NOT CLEAR THE COMPUTER SCREEN UNTIL THE LAB IS OVER! 8. Remove highlighting and linear fit boxes from your data screen. Do a screen shot of the graph with the data lines still on it. Save this screen shot so that you can insert it later in to the lab report. Data Tables & Graphs: (12 points) This section should include: Position Interval vs. Time data table for run one with plunger pushed in two notches Slope value for run one with plunger pushed in two notches Mean value of velocity for run one with plunger pushed in two notches Slope value for run two with plunger pushed in three notches Mean value of velocity for run two with plunger pushed in three notches Image of computer screen showing graphical representation of data Data Analysis: No calculations required for this lab Conclusion: Write a conclusion summarizing what the results reveal about the objectives of the lab. Comments: State any comments you have about your experience with this lab.