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1 Introduction to Motion: Position vs. Time graphs and Velocity vs. Time graphs Introduction: In this lab you will use a motion detector to make graphical representations of position and motion. The motion sensor emits sound pulses and detects their echoes (i.e. reflections) off an object. Using the speed of sound in air, the computer calculates and records distances from the detector to the object as a function of time. You will practice making and interpreting position vs. time and velocity vs. time graphs for motions along a straight line (back and forth) path. Equipment: Motion detector LabQuest interface Procedure: Setting up the motion detector and LoggerPro software 1) Plug the motion detector into the LabQuest interface 2) Plug the LabQuest into your computer 3) On your computer, under Applications, choose Logger Pro 4) You should have a screen like this, with data columns, a position graph, and a velocity 5) Choose the Data Collection button which looks like this: 6) Under Length, enter 6 seconds. Click Done You are now ready to use your motion detector! 1

2 Activity 1: Making a position vs. time graphs for different walking speeds and directions MOVE THROUGH THIS ACTIVITY QUICKLY Part I: Practice 1) To collect data, you must click on the Start Collection, button which looks like this: 2) Press the Start Collection button, and move toward and away from the motion detector. Notice the points being collected on the graph. 3) Make sure you have a clear path of about 4 meters in front of your motion detector. Clear away anything that might be near the path, because they may reflect the signal and create noise in your results. 2

3 Name Period Date Motion Detector Activity 2: Moving at a non- constant speed For straight- line motion, the slope of the position- time graph represents velocity. When velocity is constant the graph is a straight line. o Try to match the following curved graphs. o Then describe how you had to move to match the graph. o Use words like: Faster / slower Increasing speed / Decreasing speed Going toward / Going away a. b. move to match this curve: c. d. move to match this curve: e. f. move to match this curve: 3

4 Activity 3: Velocity Time graphs Part I. Graph Matching o For each of the following, you are given either a position- time graph or a velocity- time graph. o Use a different color or a dotted line to make a prediction of what you think the matching graph will be. o Then use the motion detector to generate the graph you see, and check your answer for the other graph. Set A: DO NOT SKIP THE PREDICTION! move to match this velocity velocity (m/s) Set B: move to match this velocity velocity (m/s) 4

5 Set C: move to match this velocity velocity (m/s) Set D: move to match this velocity velocity (m/s) 5

6 Set E: move to match this position velocity (m/s) Set F: move to match this velocity velocity (m/s) 6

7 Set G: move to match this velocity velocity (m/s) Part II. Questions 1. For set F, what must you do in the middle of your motion? (In other words, what happens when the velocity- time graph crosses over the x- axis? 2a. In general, what does it mean if a position- time graph is getting steeper? 2b. What does it mean if a position- time graph is getting shallower (less steep)? 7

8 3a. Sketch what a velocity- time graph looks like if you are moving in the positive direction and speeding up? 3b. Sketch what a velocity- time graph looks like if you are moving in the negative direction and speeding up? 4. What units does the slope of a velocity vs. time graph have? (remember: rise/run) 5. What does a position- time graph look like if you turn around and go the other direction? 6. What does a velocity- time graph look like if you turn around and go the other direction? 7. Describe in words how you would move to create the graph on the right. 8. The velocity- time graph for two different carts is shown below (Cart A and Cart B). Draw position- time graphs for both. What do you think is different about the motion of the two carts? velocity (m/s) A B 8

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