Motion and Representation

Magnitude of Difference

  • The magnitude of the difference is 25.
  • In one dimension, motion is simple (left or right).
  • In three dimensions, motion involves up, down, left, right, toward, or away.

Representing Motion

  • Representing motion by drawing lines can become complex and messy.
  • Physics aims for convenience while remaining rigorous.
  • Motion is often represented by a graph on an x-y plane.

Limitations of Simple Graphs

  • A simple graph only indicates the start and end points without detailing the path taken.
  • It doesn't capture changes in velocity or variations in the path.
  • Example: Moving from one door to another, the average velocity doesn't account for going up and down stairs or across a back row.

Loss of Information

  • Simple calculations may not provide complete information about the actual motion.
  • The math doesn't tell you anything about going up the stairs, going across the back row and down the stairs into the door. It just tells you that I started at one door and ended at the other.
  • Because there's a loss of information.