8.1 Displacement, Velocity, and Acceleration as Functions of Time

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What is displacement? Displacement (s) of a particle and a fixed point is the distance between the particle and the nearest fixed point measured in a certain direction. Here is a simpler and easier to understand way to explain the displacement, velocity and acceleration based on the direction of motion of the particle relative to the fixed point O: Displacement:
  • Negative displacement (s<0): The particle is to the left of point O.
  • Zero displacement (s=0): The particle is exactly at point O.
  • Positive displacement (s>0): The particle is to the right of point O.

Velocity:

  • Negative velocity (v<0): The particle moves to the left.
  • Zero velocity (v=0): The particle remain still.
  • Positive velocity (v>0): The particle moves to the right.
Acceleration:
  • Negative acceleration (a<0): The particle's velocity is increasing over time (the particle is speeding up).
  • Zero acceleration(v=0): The particle's velocity is constant (either at its maximum or minimum).
  • Positive acceleration (a>0): The particle's velocity is decreasing over time (the particle is slowing down).