# 3.1.4 Gradient of a Displacement-Time Graph

### Gradient of a Displacement-Time Graph

• Displacement-time graphs show the changing position of an object in motion
• They also show whether an object is moving forwards (positive displacement) or backwards (negative displacement)
• A negative gradient = a negative velocity (the object is moving backwards)
• The gradient (slope) of a displacement-time graph is equal to velocity
• The greater the slope, the greater the velocity

How to determine the slope of a displacement-time graph

#### Exam Tip

Don’t forget that velocity is a vector quantity; it has a size and a direction. If velocity is initially positive and then becomes negative, then the object has changed direction.

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