Distance-Time Graph

Maths: Edexcel A Level Pure Maths, topic 3.1.3

Distance-Time Graphs

Distance-time graphs plot the distance travelled against the time. The gradient of a distance-time graph represents the speed (velocity) and direction of movement.

Distance-time graph

Distance-time graph

Gradient

Gradient

  • Steeper gradients mean faster speed and a negative gradient means the object is travelling back towards the start.
  • If the graph is flat the object is stationary.
Calculating speed

Calculating speed

  • To calculate the speed from a distance-time graph, work out the distance travelled and the time taken for that section and calculate:
  • Speed = distance ÷ time

Test yourself on Distance-Time Graph

  • What is the equation for speed?

  • What can we tell from the gradient of a distance-time graph?

  • If Usain Bolt travels 100 metres in 10 seconds, what is his average speed?

  • If Usain Bolt travels 50 metres in 4 seconds, what is his average speed?

  • If Usain Bolt travels 20 metres in 2.5 seconds, what is his average speed?

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