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Motion Graphs

Reading distance-time, speed-time and acceleration-time graphs. Gradients and areas tell the whole story.

Kinematics 4 min read 13 questions Jump to quiz

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Distance-time graphs

Time goes on the x-axis. Distance goes on the y-axis.

Stationarydt Constant speedt Speeding upt
Distance-time graphs: flat, straight slope, curve getting steeper.
What you see What it means
Flat (horizontal) line Not moving
Straight sloping line Constant speed
Steeper line Faster
Curve getting steeper Speeding up (accelerating)
Curve getting flatter Slowing down

Speed-time (velocity-time) graphs

Now speed goes on the y-axis. This changes everything, so always check the y-axis label first.

Constant speedvt Constant accelerationt Slowing downt
Speed-time graphs: a flat line here means steady speed, not stopped.

Acceleration-time graphs

Acceleration goes on the y-axis.

  • A flat line above zero means constant acceleration.
  • A flat line on zero means constant velocity (no acceleration).
  • A flat line below zero means constant deceleration.
  • Area under an acceleration-time graph = change in velocity.
Motion graphs
Distance-time
  • Gradient = speed
  • Flat = stopped
  • Curve = changing speed
Speed-time
  • Gradient = acceleration
  • Area = distance
  • Flat = constant speed
Acceleration-time
  • Area = change in velocity
  • Flat on zero = constant velocity
Tips
  • Read the y-axis first
  • Units on axes

Quick summary

  • Distance-time: gradient = speed. Flat = stopped. Steeper = faster.
  • Speed-time: gradient = acceleration. Area under = distance. Flat = steady speed.
  • Acceleration-time: area under = change in velocity.
  • Always read the y-axis label before you read the shape.
  • Area of a triangle = . Area of a rectangle = base × height.

Quiz

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