This is another Infographic made using Canva last year.
Through this GeoGebra app, students can observe how the gradient of the displacement-time graph gives the instantaneous velocity and how the area under the velocity-time graph gives the change in displacement.
In the GeoGebra app below, you will see a displacement-time graph on the left and its corresponding velocity-time graph on the right. These graphs will be referring to the same motion occuring in a straight line. Instructions
- Click “Play” and observe the values of displacement and velocity change in each graph over time.
- Note the relationship between the gradient in the displacement-time graph and the value of velocity.
- Note the relationship between the area under the velocity-time graph and the value of displacement.
This GeoGebra app allows students to observe the difference between instantaneous and average velocity from a graphical perspective.
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>