# 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

#### Displacement-Time Graph

• On a displacement-time graph:
• The gradient (or slope) equals velocity
• The y-intercept equals the initial displacement
• A diagonal straight line represents a constant velocity
• A positive slope represents motion in the positive direction
• A negative slope represents motion in the negative direction
• A curved line represents an acceleration
• A horizontal line (zero slope) represents a state of rest
• The area under the curve is meaningless
• Remember the displacement-time graph can have positive or negative values on the displacement axis. However, a distance-time graph only has positive Displacement-time graph for different scenarios

#### Velocity-Time Graph

• On a velocity-time graph:
• Slope equals acceleration
• The y-intercept equals the initial velocity
• A straight line represents uniform acceleration
• A positive slope represents an increase in velocity (acceleration) in the positive direction
• A negative slope represents an increase in velocity (acceleration) in the negative direction
• A curved line represents the non-uniform acceleration
• A horizontal line (zero slope) represents motion with constant velocity
• The area under the curve equals the displacement or distance travelled
• Remember the velocity-time graph can have positive or negative values on the displacement axis. However, a speed-time graph only has positive Velocity-time graph for different scenarios

#### Acceleration-Time Graph

• On an acceleration-time graph:
• The slope is meaningless
• The y-intercept equals the initial acceleration
• A horizontal line (zero slope) represents an object undergoing constant acceleration
• The area under the curve equals the change in velocity Acceleration-time graphs for different velocity scenarios ### Author: Katie

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.
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