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One Dimensional Motion

One Dimensional Motion. Distance. How far something has moved. Distance. Scalar quantity. Displacement. How far something is from its starting position. Displacement. A vector quantity. Time. The interval between two occurrences. Uniform Motion.

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One Dimensional Motion

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  1. One Dimensional Motion

  2. Distance • How far something has moved

  3. Distance • Scalar quantity

  4. Displacement • How far something is from its starting position

  5. Displacement • A vector quantity

  6. Time • The interval between two occurrences

  7. Uniform Motion • Equal displacement occurs during successive equal time intervals

  8. Uniform Motion • Velocity is constant during uniform motion

  9. Distance vs Time Graph

  10. Slope • Slope = rise/run • Slope = Dy/Dx

  11. Slope • On a distance vs time graph: • Slope = Dd/Dt

  12. Slope • Slope = Dd/Dt • Slope = velocity

  13. Average Velocity • v = Dd/Dt • v = d1 – d0 • t1 – t0

  14. Displacement • d1 = d0 + vt1 • d = d0 + vt

  15. Distance vs Time Graph

  16. Distance vs Time Graph

  17. Acceleration a =Dv/Dta =v1- v0t1- t0

  18. Velocity v = v0 + at vf = vi + at

  19. Displacement d = d0 + v0t + ½ at2

  20. Displacement df = di + vit + ½ at2

  21. v2 = v02 + 2 a(d1 – d0) v2 = v02 + 2ad

  22. vf2 = vi2 + 2ad

  23. v = v0 + at d = d0 + v0t + ½ at2 v2 = v02 + 2ad

  24. v = v0 + at vf = vi + at

  25. d = d0 + v0t + ½ at2 df = di + vit + ½ at2

  26. df = di + vit + ½ at2 d = vit + ½ at2

  27. v2 = v02 + 2ad vf2 = vi2 + 2ad

  28. ff = vi + at d = vit + ½ at2 vf2 = vi2+ 2ad

  29. Drill A ball is dropped from 490 m. Calculate its: vf & tair

  30. Determining Instantaneous Velocity • Graph the Dd/Dt data • Draw tangent to point of interest • Determine slope of tangent

  31. Velocity vs Time Graphs

  32. a = slope d = xy or vt d = area

  33. a = slope = Dy/Dx = Dv/Dt = 62/5 = 12.4 m/s

  34. d = area under curve

  35. Define each of the following • Distance Displacement • Speed Velocity • Acceleration

  36. Describe the motion for each series

  37. Describe the motion between each interval

  38. Describe the motion of each series

  39. Draw a position time graph for a person who walks uniformly from the positive side of the origin back thru the origin to the negative side. Repeat for the negative side.

  40. Make the following conversions:a) 10 m/s to km/hrb) 72 mph to m/s 1.6 km/mile

  41. Draw a position time graph of a person who walks one block briskly, waits at a traffic light, walks the next block slowly, waits at another light, then runs the last block.

  42. A car starts 200.0 m west of town, and moves at 15 m/s east.1) write its best equation2) where will the car be at 10 min3) When will the car be in town

  43. A truck starts 400.0 m east of town, and moves at 12 m/s west Find the time & place where the car from the last problem & the truck will be at the same place

  44. A car increases its velocity from 4.0 m/s to 36 m/s over 4.0 s. 1) Calculate the average acceleration

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