6-4 Speed & Velocity

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6-4 Speed & Velocity

  1. 1. Warm Up<br />Sam walks 10 meters down the hall. Then turns right and walks 25 meters to get to the cafeteria. What is Sam’s distance traveled and displacement?<br />
  2. 2. Warm Up<br />Will an airplane have a greater velocity flying into the wind or in the same direction as the wind. <br />The wind will add to the velocity of the airplane. <br />Velocities add in the same direction.<br />Velocities subtract when opposite directions<br />
  3. 3. 6-4 Graphing MotionSpeed & Velocity<br />Compare and Contrast average speed with instantaneous speed.<br />Interpret distance-time graphs.<br />
  4. 4. Average Speed vs. Instantaneous speed<br />Average speed- how fast something travels over the entire trip.<br />Instantaneous speed- how fast something travel at a particular instant.<br />Velocity – speed with direction<br />
  5. 5. d vs. t graphs<br />Graph the motion <br />use the slope to interpret the relationship between the variables (d & t)<br />*steep slope <br />Fast speed <br />*gentle slope <br />Slow speed <br />
  6. 6. d<br />d<br />d<br />d<br />t<br />t<br />t<br />t<br />When interpreting the motion answer:<br /><ul><li>As time goes by, distance (d  or )
  7. 7. The line shows relationship (constant or changing)
  8. 8. Moving forward (d)
  9. 9. No motion (d stays same)
  10. 10. Moving backward (d)
  11. 11. Moving forward (d)
  12. 12. Constant speed (straight)
  13. 13. Changing speed (curved)
  14. 14. Constant speed (straight)
  15. 15. Constant speed (straight)
  16. 16. 0 m/s</li></li></ul><li>d<br />d<br />d<br />t<br />t<br />t<br /><ul><li>Moving forward (d)
  17. 17. Moving backward (d)
  18. 18. Moving backward (d)
  19. 19. changing speed (curved)
  20. 20. changing speed (curved)
  21. 21. changing speed (curved)
  22. 22. (-) acceleration
  23. 23. (+) acceleration
  24. 24. (-) acceleration</li></li></ul><li>AB<br /><ul><li>Move forward
  25. 25. Constant speed
  26. 26. ΔY</li></ul>10m<br />1m/s<br />=<br />=<br />10s<br />ΔX<br />BC<br /><ul><li>At rest
  27. 27. Constant speed
  28. 28. 0m/s</li></li></ul><li>CD<br /><ul><li>Moving backward
  29. 29. Constant speed
  30. 30. ΔY</li></ul> 5m<br />1m/s<br />=<br />=<br />ΔX<br /> 5s<br />DE<br /><ul><li>Moving forward
  31. 31. Changing speed
  32. 32. (+) acceleration</li></li></ul><li>EF<br /><ul><li>Moving backward
  33. 33. Constant speed
  34. 34. ΔY</li></ul>25m<br />5m/s<br />=<br />=<br />ΔX<br /> 5s <br />FG<br /><ul><li>Moving forward
  35. 35. Constant speed
  36. 36. ΔY</li></ul>10m<br />2m/s<br />=<br />=<br />ΔX<br />5s<br />GH<br /><ul><li>Moving forward
  37. 37. Constant speed</li></ul>12.5m<br /><ul><li>ΔY</li></ul>=<br />1m/s<br />=<br />ΔX<br />12.5s<br />
  38. 38. Which line had the fastest speed?<br /><ul><li>EF
  39. 39. Steepest slope</li></ul>Distance increases?<br /><ul><li>Moving forward</li></ul>Distance decreases?<br /><ul><li>Moving backward</li></ul>Straight line?<br /><ul><li>Constant speed</li></ul>Curved line?<br /><ul><li>Changing speed</li></ul>d vs. t graph shows?<br /><ul><li>Speed and direction</li></li></ul><li>6-3 Summary<br />What is average speed?<br />Total distance traveled during total time.<br />What is instantaneous speed?<br />Speed traveling at an instant in time.<br />What is the slope of a distance vs. time graph?<br />Slope of a d vs. t graph is speed.<br />

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