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Distance-Time Graphs Simplified Revision Notes

Revision notes with simplified explanations to understand Distance-Time Graphs quickly and effectively.

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5.6.8 Distance-Time Graphs

Distance-Time Graphs

Overview

infoNote

If an object moves along a straight line, the distance travelled can be represented by a distance-time graph.

Interpretation

infoNote

The increasing or decreasing speed means that the object is accelerating or decelerating.

  • To calculate the speed at any given point:
    • Draw a tangent to that point on the curve.
    • Calculate the gradient of the tangent.

Gradient

  • The gradient of a distance-time graph is the speed of the object. image
image
lightbulbExample

Example Graph

  • A: Represents a period of constant speed.
  • B: Represents a period of rest (no movement).
  • C: Represents a period of increasing speed.
infoNote

Note: The slope (steepness) of the graph indicates the speed; steeper slopes represent higher speeds.

Displacement-Time Graphs

  • Gradient is Velocity
  • A sharper gradient means faster speed.
  • The negative gradient is returning back to the starting point.
  • Horizontal line means stationary.
  • 0 distance means that it is back to the starting point.
  • The area under the line = nothing.
  • A curved line means that the velocity is changing (acceleration). image

Acceleration

infoNote

If an object is accelerating, its speed can be determined by drawing a tangent and calculating the gradient of the distance-time graph.

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