This document discusses how to analyze and interpret different kinematics graphs including distance-time graphs, displacement-time graphs, velocity-time graphs, and acceleration-time graphs. It explains that the slopes and areas of these graphs provide information about displacement, velocity, and acceleration over time. Specifically, it describes how to determine velocity, acceleration, and whether an object is moving, slowing down, or at rest by examining the shapes, slopes, and points of the lines and curves on each type of graph.

1. Kinematics Topic 2.1 2.1.7 – Draw and analyse distance – time graphs, displacement – time graphs, velocity – time graphs and acceleration – time graphs. 2.1.8 – Calculate and interpret the gradients of displacement – time graphs and velocity – time graphs, and the areas under velocity – time graphs and acceleration – time graphs.

2. Distance– time graphs

3. Displacement – time graphs

4. Graph info Increasing slope means increasing velocity Constant slope means constant velocity Decreasing slope means decreasing velocity Horizontal point (zero slope) means zero velocity Negative slope indicates negative velocity Flattening curve implies velocity becoming less negative Continuing zero slope implies the object is at rest

5. Velocity – time graphs

6. Velocity – time graphs

7. Graph info Positive slope means positive acceleration Horizontal line (zero slope) means zero acceleration Negative slope means negative acceleration

8. Acceleration – time graphs