describe a method for calculating the speed of the distance time graph
Answers
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The gradient of a distance-time graph represents the speed of an object.
The velocity of an object is its speed in a particular direction. The slope on a velocity-time graph represents the acceleration of an object. The distance travelled is equal to the area under a velocity-time graph.
Distance-time graphs
You should be able to draw and explain distance-time graphs for a stationary object or an object moving at a steady speed in a straight line.
Background information
The vertical axis of a distance-time graph is the distance travelled from the start. The horizontal axis is the time from the start.
Features of the graphs
When an object is stationary, the line on the graph is horizontal. When an object is moving at a steady speed in a straight line, the line on the graph is straight but sloped.
Note that the steeper the line, the greater the speed of the object. The blue line is steeper than the red line because the blue line represents an object which is moving more quickly.
Calculating speed - Higher tier
When an object moves in a straight line at a steady speed, you can calculate its speed if you know how far it travels and how long it takes. This equation shows the relationship between speed, distance travelled and time taken:
speed = distance travelled ÷ time taken
Speed is measured in metres per second, m/sDistance is measured in metres, mTime taken is measured in seconds, sFor example, a car travels 300 m in 20 s. Its average speed is:300 ÷ 20 = 15 m/s
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