Velocity - Time Graph
![](http://www.one-school.net/Malaysia/UniversityandCollege/SPM/revisioncard/physics/forceandmotion/images/motiongraph_clip_image002_0004.jpg)
Analysing Velocity-Time Graph![](http://www.one-school.net/Malaysia/UniversityandCollege/SPM/revisioncard/physics/forceandmotion/images/motiongraph_clip_image002_0004.jpg)
- The gradient of the velocity-time gradient gives a value of the changing rate in velocity, which is the acceleration of the object.
- The area below the velocity-time graph gives a value of the object's displacement.
- When analysing velocity-time graph, always keep in mind that the gradient of the graph is equal to the acceleration of the graph.
- If the gradient is constant, then the acceleration is constant. If the gradient increase, then the acceleration increase and etc.
- Table below shows a few cases of velocity-time graph for different types of motion.
Uniform velocity
Uniform acceleration
Increasing acceleration
Uniform deceleration
Decreasing acceleration
Converting a Velocity-Time graph to Acceleration-Time graph
- In order to convert a velocity-time graph to acceleration time graph, we need to find the gradient of the velocity time graph and plot it in the acceleration-time graph.
- The 5th and 6th videos below explain how to sketch an acceleration-time graph form a given velocity-time graph.
Recommended Videos
Velocity-Time Graph Part 1
Velocity-Time Graph Part 2
Velocity-Time Graph Part 3
Velocity-Time Graph - Examples
Acceleration-Time Graph Part 1
Acceleration-Time Graph Part 2
Recommended Videos
Calculating Distance from a Velocity Versus Time Graph
Physics Lesson: Velocity Time Graphs Part 1
External Link
Interactive Mathematics - Velocity-Time Graph
Interactive Animation
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8evkkfOZO4wa_R4NGBdxGd_t8iDXHzUOWkD0ZoiVGbxBe5DYPJw2kwh4e7t-TGrG7qP_47JdiDiDVGiv2N7MugfBhDTOUf8FMTW2DPVhJjvRE9QGVu84JE1o9_p9AYyVjb-UywSGQl4w/s200/Picture6.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwQJg2XLKwzuneL55e3gkmEmQFdoCaTSrihWXqZdRJP1SB4kIGdaUD8QuIvKIyGS83hWQVubuv453fzS7LEQYb2aihkwgKwS2nbD9FZD1b7XZAeDpilNL29-tkpoifa2CODZIUgnswuRA/s200/Picture6.png)
External Link
Interactive Mathematics - Velocity-Time Graph
Interactive Animation