# Graphs of Motion

## Velocity-Time Graphs

### In the previous section, the focus was on calculations covering Speed and Acceleration. In this section, graphs of Velocity against Time will be used find information about an object's motion. An example of a Velocity-Time graph is shown below :- ## Distance / Displacement Traveled

### The following diagram shows the graph above, colour-coded for ease of calculation :- ## Acceleration-Time Graphs

### The diagram below shows a Velocity-Time graph with its corresponding Acceleration-Time graph :- ## Displacement- Time Graphs

### Finally, Graphs relating Displacement and Time can also be generated. These Displacement-Time graphs generally have a curved shape as a constant Acceleration will give a linear increase in Velocity and therefore an increasing Displacement per second :- ## Motion Case Study - Bouncing Ball

### The graph below shows a Displacement-Time graph (with the origin being ground level) for a ball falling under Gravity:- ### The graph below shows the corresponding Velocity-Time graph for a falling ball:- 