Physics. Motion Maps...
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1 Physics Motion Maps Motion Maps represent the position, velocity and acceleration of an object for a given time interval (i.e. it shows where the object is every second, plus arrows representing velocity and acceleration). Think of a car that has an oil leak and it drips oil every second. The drop pattern would show the position and you could draw arrows representing velocity and acceleration with sidewalk chalk. Focus: Velocity Here is a dot pattern with a time interval of once every second. Assume the motion is going from left to right. Car A Car B Describe the motion of car A in words. Discuss the car s displacement, velocity, and 2. Describe the motion of car B in words. Discuss the car s displacement, velocity, and 3. Which car is moving faster? 4. How can you tell? 5. How much faster is the faster car?
2 6. Are both cars moving at constant velocity? 7. How can you tell? 8. Assuming an abrupt and complete stop at the dot, what is the displacement of the first car? 9. Assuming an abrupt and complete stop at the dot, what is the displacement of the second car? 10. What is the average speed of the first car? 11. What is the average velocity of the first car? 12. What is the average speed of the second car? 13. What is the average velocity of the second car? 14. What is the acceleration of the first car? 15. What is the acceleration of the second car?
3 16. Now, you will draw arrows representing velocity on the motion map. If the length of the arrow is proportional to the magnitude of velocity (the larger the velocity, the larger the arrow), how much larger should the second motion map s arrow be than the first? Use a COLORED pencil to represent the velocity vectors. Car A Car B How long would the acceleration vector be? 18. Create a position-time graph for the cars. Remember to label everything appropriately.
4 Focus: Acceleration In the motion maps below, a dot is placed every second. Car A Car B Car C Car D Using a COLORED pencil, draw arrows on each motion map to represent the velocity vector. Show the direction of the velocity and make the lengths proportional to the 20. Using a different COLORED pencil, draw arrows on each motion map to represent the acceleration vector. Show the direction of the acceleration and make the lengths proportional to the
5 21. Describe the motion of car A in words. Discuss the car s displacement, velocity, and 22. Describe the motion of car B in words. Discuss the car s displacement, velocity, and 23. Describe the motion of car C in words. Discuss the car s displacement, velocity, and 24. Describe the motion of car D in words. Discuss the car s displacement, velocity, and 25. For which time interval is the velocity the greatest for car A? 26. For which time interval is the velocity the least for Car C? 27. Which car has constant velocity for the entire run? 28. Which car has a constant velocity for at least 2 time intervals? State the time intervals for each car 29. Which car(s) had a positive acceleration? 30. Which car(s) had a negative acceleration? 31. Which car had both? 32. Which car had an acceleration equal to zero?
6 33. Create a position-time graph for the cars. Remember to label everything appropriately.
7 Focus: Direction and Displacement When an object goes backwards, shift the dots down to show the motion and avoid confusion Runner A The top strip shows the motion of a runner running to the right and slowing to a stop. The bottom strip shows the runner running back to the start. THIS IS ALL ONE MOTION MAP. Runner A x = Last 34. Which direction should we call positive; to the left or right? 35. Using a COLORED pencil, draw arrows on the motion map to represent the velocity vector. Show the direction of the velocity and make the lengths proportional to the 36. Using a COLORED pencil, draw arrows on the motion map to represent the acceleration vector. Show the direction of the acceleration and make the lengths proportional to the 37. Describe the motion of Runner A in words. Discuss the runner s displacement, velocity, and
8 38. What is Runner A s total distance traveled? 39. What is Runner A s displacement? 40. What is Runner A s average speed? 41. What is Runner A s average velocity? 42. Which segment(s) shows positive acceleration? 43. Which segment(s) shows negative acceleration? Runner B The top strip shows the motion of a runner running to the right and slowing to a stop. The bottom strip shows the runner running back toward the start. THIS IS ALL ONE MOTION MAP. Runner B x = Last
9 44. Which direction should we call positive; to the left or right? 45. Using a COLORED pencil, draw arrows on the motion map to represent the velocity vector. Show the direction of the velocity and make the lengths proportional to the 46. Using a COLORED pencil, draw arrows on the motion map to represent the acceleration vector. Show the direction of the acceleration and make the lengths proportional to the 47. Describe the motion of Runner B in words. Discuss the runner s displacement, velocity, and 48. What is the Runner B s total distance traveled? 49. What is the Runner B s displacement? 50. What is the Runner B s average speed? 51. What is the Runner B s average velocity? 52. Which segment(s) shows positive acceleration? 53. Which segment(s) shows negative acceleration?
10 Runer C x = Last 54. Which direction should we call positive; to the left or right? 55. Using a COLORED pencil, draw arrows on the motion map to represent the velocity vector. Show the direction of the velocity and make the lengths proportional to the 56. Using a COLORED pencil, draw arrows on the motion map to represent the acceleration vector. Show the direction of the acceleration and make the lengths proportional to the 57. Describe the motion of Runner C in words. Discuss the runner s displacement, velocity, and 58. What is Runner C s total distance traveled? 59. What is Runner C s displacement? 60. What is Runner C s average speed? 61. What is Runner C s average velocity? 62. Which segment(s) shows positive acceleration? 63. Which segment(s) shows negative acceleration?
11 64. Create a position-time graph for the runners. Remember to label everything appropriately.
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More Chapter 3 Projectile motion simulator http://www.walter-fendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x