Name:___________________________ Period:___________ Date:____________ Graphing Motion [Lab 3] Points: ___________ / 100 Purpose In this lab, you will collect and graph data pertaining to the motion of a constant velocity car and determine its average velocity. Then, you will apply these principles to describe the motion of an object as plotted on a graph. Hypothesize The car should travel with constant velocity. Using the blank template to the right, graph what you think the motion of the car will look like. Procedure 1. Use a small piece of tape to indicate a starting position on the ground. 2. Mark increments of 0.5 m from the starting position and label these positions #1-5. 3. Record the value of each of the 5 positions in the data table, relative to your starting line. 4. Place the car slightly behind the starting position. Turn the car on, and record the time it takes the car to travel to each of the 5 positions. Make two measurements of time, recording their values and their average below. Data Position Time 1 Time 2 Average Time 0m 0s 0s 0s (1) (2) (3) (4) (5) Analysis 1. Plot the motion of the car on the graph using the average time, and draw a line of best fit. 2. Calculate the slope of the line and include units in your calculations. Show work below. 3. Using a green pencil, draw a line on the graph representing the motion of a faster car that starts at the origin and travels the same displacement as the car you used in the lab. 4. Using a blue pencil, draw a line representing the motion of a slower car, that starts at the origin and travels for 3 seconds and then comes to a stop for the remainder of the time on the graph. Conclusion 1. In general, on any “x vs. t” (position versus time) graph, what physics variable (displacement, distance, acceleration, velocity, or time) does the slope of the line represent? 2. For the graph shown below, describe the motion of the object using: “stopped” or “constant velocity”. Also indicate direction of motion using: moving forwards (+), or moving backwards (-). Section A B C D E Extension The graph to the right shows the position of an object with respect to time. Use the graph to answer the questions that follow. 1. Draw a line connecting the positions at t = 0 s and t = 6 s. This line represents the average velocity for that time interval. Find the average velocity from t = 0 s to t = 6 s. 2. Find the average velocity of the object from t = 0 s to t = 14 s. 3. What is the displacement of the object from t = 0 s to t = 14 s? 4. What is the total distance traveled by the object from t = 0 s to t = 14 s? Motion Direction The graph to the right shows the position of an object with respect to time. Use the graph to answer the questions that follow. Sections of uniform motion are labeled “a-g” to help you identify intervals. 5. For which interval(s) on the graph is the object moving forwards? 6. For which interval(s) on the graph is the object moving backwards? 7. For which interval(s) on the graph is the object stopped? 8. What is the total distance traveled by the object from 0 to14 s? What is the object’s final displacement at 14 s? 9. Recall that “speed” is a measurement of distance traveled per time interval. What is the object’s average speed from 0-14s? 10. Recall that “velocity” is a measurement of displacement traveled per time interval. What is the object’s average velocity from 0 to14s? 11. At t = 14s, the object begins moving again. It travels with a velocity of +10 m/s for 2 seconds. Use a green pen/pencil to show this motion on the graph. 12. At t = 16 s, the object changes its motion. It moves with a constant velocity of -20 m/s for 4 seconds. Use a blue pen/pencil to show this motion on the graph. 13. With a GREEN PENCIL, graph the following motion: Object “A” starts at a position of 2.5 meters, and travels for 4 seconds at – 0.5 m/s. The object then stops for 3 seconds. Lastly, it moves at +0.67 m/s for 2 seconds. 14. With a BLUE PENCIL, graph the following motion: Object “B” starts at a position of 0.5 meters, and travels for 5 seconds at + 0.30 m/s. The object then decreases its speed to +0.1 m/s for 5 seconds. 15. At what time(s) do the objects collide? How do you know? 16. For what time interval(s) are the objects traveling in the same direction? How do you know? Taking it further… 1. Describe the motion displayed by the particle model below: 2. Use the particle model to create a data chart. Graph the data, and draw a line or curve of best fit. Time (s) Position (m) 3. Does the data produce a linear graph? 4. Name two ways in which you can tell this is NOT an object traveling at constant velocity?