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Physics · Forces and motion

Motion: Distance–Time and Velocity–Time Graphs

Graphs are a quick way to describe motion. Their shapes tell you whether something is moving steadily, speeding up or slowing down.

time (s) →Distance (m)1000time (s) →Velocity (m/s)150
Time
0 s
Distance
0 m
Velocity
5 m/s

Try this

  1. Set acceleration to 0. What shape is each graph?
  2. Use a positive acceleration. What happens to the distance–time graph?
  3. Use a negative acceleration until the car stops.

Key ideas

  • v = u + at
  • s = ut + ½at²
  • Slope of a distance–time graph = speed; slope of a velocity–time graph = acceleration.