# 3.1.2 Motion Graphs

### Motion Graphs

• Three types of graph that can represent motion are displacement-time graphs, velocity-time graphs and acceleration-time graphs
• On a displacement-time graph…
• slope equals velocity
• the y-intercept equals the initial displacement
• a straight line represents a constant velocity
• a curved line represents an acceleration
• a positive slope represents motion in the positive direction
• a negative slope represents motion in the negative direction
• a zero slope (horizontal line) represents a state of rest
• the area under the curve is meaningless • On a velocity-time graph…
• slope equals acceleration
• the y-intercept equals the initial velocity
• a straight line represents uniform acceleration
• a curved line represents non-uniform acceleration
• a positive slope represents an increase in velocity in the positive direction
• a negative slope represents an increase in velocity in the negative direction
• a zero slope (horizontal line) represents motion with constant velocity
• the area under the curve equals the change in displacement • On an acceleration-time graph…
• slope is meaningless
• the y-intercept equals the initial acceleration
• a zero slope (horizontal line) represents an object undergoing constant acceleration
• the area under the curve equals the change in velocity How displacement, velocity and acceleration graphs relate to each other ### Author: Ashika

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.
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