Ladybug Motion 2D: Velocity & Acceleration Vectors
Drag a ladybug around, or let it move in a line, circle or ellipse, and see its velocity and acceleration arrows change live.
Drag the ladybug anywhere in Manual mode and watch the velocity (green) and acceleration (blue) arrows. Or let it move by itself in a line, a circle or an ellipse.
About the Ladybug Motion 2D: Velocity & Acceleration Vectors
Free ladybug motion 2d: velocity & acceleration vectors. Drag a ladybug around, or let it move in a line, circle or ellipse, and see its velocity and acceleration arrows change live. Drag, change the sliders and see the result live. No sign-up, works on phone and computer. Built for physics, the ladybug motion 2d: velocity & acceleration vectors runs instantly in your browser: change a setting or drag an object and the result updates at once, so you learn by trying things out rather than only reading about them.
Drag a ladybug around, or let it move in a line, circle or ellipse, and see its velocity and acceleration arrows change live. Use it to explore physics ideas at your own pace, then check what you found against the key ideas further down this page.
How to use the Ladybug Motion 2D: Velocity & Acceleration Vectors
- Use the controls to change Path, Speed (line), Radius, Angular speed, Arrows, and more. The simulation reacts instantly.
- Pick an option such as Manual (drag), Line, Circle, Ellipse to switch modes or load an example.
- Press "Clear trail" to start, reset or change what is happening.
- Where you see a glowing handle, object, weight or atom, drag it with your mouse or finger. Everything responds in real time.
- Watch the readouts and graphs update as you experiment, and compare what you see with the key ideas below.
Things to try
- Drag the ladybug in a slow circle and watch the blue acceleration arrow.
- Switch to Circle and double the angular speed. How does the acceleration change?
- Use Line mode: why is the acceleration zero except at the bounces?
- Hide the velocity arrow and predict its direction before turning it back on.
Key ideas you can learn
- Velocity is the rate of change of position and it points the way the object is moving.
- Acceleration is the rate of change of velocity, so anything that speeds up, slows down or turns is accelerating.
- In uniform circular motion the speed is constant but the acceleration is not zero: it points to the center.
- A straight line at constant speed has velocity but zero acceleration.
Where this is used in the real world
Engineers use these ideas to design roller coasters, race tracks, satellites and robot paths, and sports scientists track athletes the same way.
Who is this simulation for?
Physics students in middle school, high school and first-year university, teachers who want a quick demonstration for the projector, and anyone revising for exams. It works well for flipped classrooms because students can explore before the lesson.
For teachers: project it on the board, let students predict what will happen, then run it together. For students: change one thing at a time and write down what changes.
Frequently asked questions
Why does something moving in a circle at constant speed accelerate?
Acceleration means the velocity vector changes, and the direction of the velocity keeps changing as it goes around, so there is an acceleration toward the center.
How do you find velocity from a path?
Velocity is the change in position divided by the change in time. The simulation measures it from the ladybug's motion.
Is the Ladybug Motion 2D: Velocity & Acceleration Vectors free to use?
Yes. It is completely free, with no signup, no download and no ads inside the simulation. It runs in your web browser.
Does the Ladybug Motion 2D: Velocity & Acceleration Vectors work on a phone or tablet?
Yes. It uses touch as well as the mouse, so you can drag objects with your finger. A larger screen makes the controls easier to see.