Advanced Placement Physics #1 Summer Assignment Kinematics Lab Purpose: Kinematics is the study of motion. The key concepts are distance, displacement, position, time, speed, velocity and acceleration. This lab focuses on all of these concepts except acceleration. Distance is the measurement of how far an object has moved. It does not account for the direction of travel in any way. For example, when you run one complete lap around a track you have a traveled a total distance of 400 m. Displacement is the change in the position of an object. This is measured in a straight line and would include the direction as well. In the above example, your displacement around the track is 0 m because you began and ended at the same location. Average Speed is the change in distance divided by the time. If you ran 400 m in 100 s, your speed is 4 m/s. Average Velocity is the displacement divided by the time. Your velocity on the track is 0 m/s, since displac ement was zero. Instantaneous speed or instantaneous velocity is the speed at a particular moment of time. This is what the police officer measures with his radar gun. Equipment: Watch with second hand or digital with second counter or stopwatch. Automobile Map of where you are driving with a key showing scale. Procedure: 1. Acquire a map of your neighborhood and surrounding area. Use MapQuest or other web site to get this. You will need a map with enough detail to show all surface streets. 2. Plan a driving route. The driving distance should be at least 5 miles. It should have at least 5 stop signs on the route 3. Have your parent drive the route. 4. Record the starting time on the watch. 5. Record the mileage of the car at the starting point. 6. Approximately halfway to the stop sign, record the speedometer speed. 7. As you come to a stop sign, record the time on the watch and the mileage. 8. Mark your location on the map. 9. Keep driving to the next stop sign and repeat the measurements. 10. Repeat until you have driven your whole route. 11. Significant Figures – You need to measure the time to the second. Minutes are not precise enough. You need to measure the mileage to the tenth of a mile. Use the trip odometer to measure this. Position Start Stop 1 Stop 2 Stop 3 Stop 4 Stop 5 Time on watch (s) Odometer Mileage (miles) Speed halfway (miles per hour) n/a Calculations 1. Calculate the total distance you traveled to each stop sign from your starting point and the distance from the previous stop sign. Position Start Stop 1 Stop 2 Stop 3 Stop 4 Stop 5 2. Total Distance (miles) 0 Calculate the time to travel to each stop sign from your staring point and from the previous stop sign. Position Start Stop 1 Stop 2 Stop 3 Stop 4 Stop 5 3. Total Time 0 Position Start Stop 1 Stop 2 Stop 3 Stop 4 Stop 5 Time from previous stop 0 Calculate the average speed of your travel for each segment and the whole trip. The average speed of a segment is the distance between stops divided by the time traveled on that segment. The average speed of the whole trip is the distance traveled from start to finish divided by the total time. Position Start Stop 1 Stop 2 Stop 3 Stop 4 Stop 5 Total Trip 4. Distance from previous stop (miles) 0 Speed Using your map, measure the magnitude of your displacement from the starting point to the 1 st stop. Then measure from the 1st stop to the 2nd stop. Continue with 2nd to 3rd , etc. To do this, use a ruler and the map scale to determine the distance. You will need to then convert the distance to miles if needed. Displacement Measurement (Ruler) Displacement Measurement (Map Scale) Displacement (miles) 5. Using your displacement in miles and your recorded time, calculate the magnitude of your average velocity from start to the 1st stop sign, the 1 st to the 2nd , etc and the average velocity of the total trip. Position Start Stop 1 Stop 2 Stop 3 Stop 4 Stop 5 Total Trip Average Velocity Questions: Use complete sentences in each answer. 1. How does the average velocity compare to average speed in each segment of your trip and the total. Cite examples from your data. 2. Was the speed of your car the same all through the trip? Was it the same as your speed at halfway through the trip? Cite examples from your data. 3. Compare the terms instantaneous speed and average speed. Cite examples from your data that illustrate this. 4. What is the difference between speed and velocity? 5. What is the difference between distance and displacement? Were your distances the same as your displacements? Cite a situation where distance and displacement are the same? If you have any questions, please email Mrs. Knutson at [email protected]
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