Graphical relationship between acceleration, velocity and displacement
I created the following GeoGebra app to illustrate the relationships between the physical quantities acceleration, velocity and displacement.
- Modify the acceleration graph using the two green dots. Notice how the velocity and displacement graphs would change.
- You can set the initial values of velocity and displacement using the orange and red dots respectively.
- Press “Play” to observe how the object moves. Note: the animation takes place in slow-motion, not in real time.
- Uncheck any of the graphs to hide them.
Here are some learning activities you can try out.
- Predict the displacement-time graph, following these steps:
- Uncheck the displacement-time graph.
- Move the two dots on the acceleration-time graph to zero acceleration.
- Move the initial velocity to – 10 m s-1.
- Predict how the displacement-time graph will look like.
- Predict/describe the movement of the object.
- Set the dots for acceleration to remain constant for a period of 4 seconds at – 10 m s-2, initial velocity at 20 m s-1, and initial displacement at 0 m.
- Predict how the object will move, taking the upward direction as positive.
- Press “Play” to verify your answers.
For embedding into SLS:
<iframe scrolling="no" title="Acceleration, velocity and displacement graphs" src="https://www.geogebra.org/material/iframe/id/qpxcs6vb/width/638/height/478/border/888888/sfsb/true/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/true/rc/false/ld/false/sdz/false/ctl/false" width="638px" height="478px" style="border:0px;"> </iframe>