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Question

What can you say about the motion of an object whose distance-time graph is a straight line parallel to the time axis?


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Solution

Definition

A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph.

  1. Distance is plotted on the Y-axis.
  2. Time is plotted on the X-axis.

The motion of an object whose distance-time graph is a straight line parallel to the time axis

  1. If the distance-time graph is a straight line then the motion is uniform.
  2. If the distance-time graph of a body is given, its speed can be calculated using the slope of the graph.
  3. The slope of the straight-line graph is the same irrespective of the interval which is chosen. This implies that the speed of an object under uniform motion remains constant.
  4. Therefore, when the slope of the distance-time graph is a straight line parallel to the time axis, the object is at the same position as time passes.
  5. That means the object is at rest.

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