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Point of reference
• Observational point tied to the motion of an
  observer.
• In Newtonian physics, all motion must be
  defined in terms of a point of reference.
• Relative Motion
Point of reference
• Is the speed of the ball different relative to the
  pitcher, the truck driver, and the jet pilot? Why or
  why not?
Point of reference
• Trajectory: The path of a moving body.
Distance
• Distance is the measurement from one point
  to another. The length of the trajectory

• Distance may refer to a physical length, a
  period of time, or an estimation.
Displacement
• Displacement ( x) – difference between an object’s final
  position and its starting position.
   – Does depend on direction.
• Displacement = final position – initial position
• x = xfinal – xinitial
• In order to define displacement, we need directions.
• Examples of directions:
   – + and –
   – N, S, E, W
   – Angles
Displacement vs. Distance
• Example of distance:
  – The ant walked 3 cm.
• Example of displacement:
  – The ant walked 3 cm EAST.
• An object’s distance traveled and its
  displacement aren’t always the same!
Displacement vs. Distance
• An athlete runs around a track that is 100 meters long
  three times, then stops.
   – What is the athlete’s distance and displacement?

                                     • Distance = 300 m
                                     • Displacement = 0 m
                                     • Why?
Displacement and distance
To go to school from home...                                       your
                                                                   home

                             Size = length of
                             this arrow



     your                                         displacement from
     school                                         home to school

        A displacement has                 size     & direction.
Displacement and distance
To go to school from home...                       your
                                                   home



                                   l2     l1
                          l3
    your
    school                     Distance = length of path you
                               travelled      = l1 + l2 + l3
                               (   size of displacement)

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Basic concepts

  • 1.
  • 2. Point of reference • Observational point tied to the motion of an observer. • In Newtonian physics, all motion must be defined in terms of a point of reference. • Relative Motion
  • 3. Point of reference • Is the speed of the ball different relative to the pitcher, the truck driver, and the jet pilot? Why or why not?
  • 4. Point of reference • Trajectory: The path of a moving body.
  • 5. Distance • Distance is the measurement from one point to another. The length of the trajectory • Distance may refer to a physical length, a period of time, or an estimation.
  • 6. Displacement • Displacement ( x) – difference between an object’s final position and its starting position. – Does depend on direction. • Displacement = final position – initial position • x = xfinal – xinitial • In order to define displacement, we need directions. • Examples of directions: – + and – – N, S, E, W – Angles
  • 7. Displacement vs. Distance • Example of distance: – The ant walked 3 cm. • Example of displacement: – The ant walked 3 cm EAST. • An object’s distance traveled and its displacement aren’t always the same!
  • 8. Displacement vs. Distance • An athlete runs around a track that is 100 meters long three times, then stops. – What is the athlete’s distance and displacement? • Distance = 300 m • Displacement = 0 m • Why?
  • 9. Displacement and distance To go to school from home... your home Size = length of this arrow your displacement from school home to school A displacement has size & direction.
  • 10. Displacement and distance To go to school from home... your home l2 l1 l3 your school Distance = length of path you travelled = l1 + l2 + l3 ( size of displacement)