I've curated a series of Geogebra apps that are relevant and useful for the instructional objectives under the Singapore-Cambridge GCE 'O' and 'A' level syllabi. Some of these apps were created by myself. If you have any ideas for new Geogebra apps, do let me know in the comments section below and I'll see if it's possible to create. Alternatively, if you have come across other Geogebra apps that can be relevant to the local physics syllabus, I would gladly include them into my lists!

## Box on a Vertical Oscillating Spring - Geogebra App

GeoGebra link: https://www.geogebra.org/m/ev62ku7w

Students can explore how varying frequency and amplitude of the vertical oscillation of a platform could cause an object resting on it to temporarily leave the platform (i.e. when normal contact force is zero).

## PV Diagram for an Ideal Gas

GeoGebra link: https://www.geogebra.org/m/xyqhfvyw

Applying the 1st Law of Thermodynamics to 4 simple changes on an ideal gas, students can check their understanding using this Geogebra app. When is work done positive? Which processes bring about an increase in internal energy or temperature? Which processes require heat input?

## Geogebra App for Kinematics

As one of the first topics in A-level physics, kinematics introduces JC students to the variation of velocity and displacement with acceleration. Very often, they struggle with the graphical representations of the 3 variables.

This Geogebra app allows students to vary acceleration (keeping it to a linear function for simplicity) while observing changes to velocity and displacement. Students can also change the initial conditions of velocity and displacement.

The default setting shows an object being thrown upwards with downward gravitational acceleration of 10 m s^{-2}.

The movement of the particle with time is shown on the left with a reference line showing the position on the displacement graph.

GeoGebra link: https://www.geogebra.org/m/qpxcs6vb

## Geogebra Apps for Gravitation

GeoGebra link: https://www.geogebra.org/m/hzfyjejx

GeoGebra link: https://www.geogebra.org/m/jmqytcsc

## Wavefront

In order to help students visualise a wavefront, a 3-D image is usually used to show the imaginary line joining particles in phase. I created the Geogebra apps below to allow students to change the wavefront and observe it move with time at a constant wave speed. There represent simplified versions of waves on a ripple tank with a linear and circular wavefront.

GeoGebra link: https://www.geogebra.org/m/rbjcszuc

Rotating the first waveform, you can get the displacement-distance profile of a wave, which is basically the cross-section of a 3-D wave.

GeoGebra link: https://www.geogebra.org/m/twtnrtuh

## Graphs of a Progressive Wave - Geogebra App

GeoGebra link: https://www.geogebra.org/m/f7faw3r6

This simple Geogebra app allows students to observe the oscillation of a particle perpendicular to the direction of energy transfer.

## Centre of Gravity and Stability - Geogebra App

This Geogebra app allows students to explore how the position of the centre of gravity as well as the width of its base affect the stability of an object.

## Velocity-Displacement Graph of a Simple Harmonic Oscillator - Animation

This animation is made using Geogebra. It shows the instantaneous velocity and displacement vectors of a particle undergoing simple harmonic motion while tracing its position on the velocity-displacement graph. It is meant to help student understand why the graph is an ellipse.

## Velocity of a Wave - Simulation

Try using the values in this simulation to find the velocity of this wave! Let me have your answer in the comment section!

Update on 21 August 2018: The latest iteration of this App is found here: