Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Students · Projectile Motion

Projectile Motion for a yo-yo

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a yo-yo live below — adjust the inputs and watch it respond, right in your browser.

Projectile Motion StudioLive

ballistics with air drag

Controls

Launch a projectile and see how angle, speed, and air resistance shape the arc.

Presets

Launch angle (°)

Launch speed

Air drag

▶ Run in Python

Data Inspector

Range46.1 m

Max height16.1 m

Drag modelquadratic

Governing equation

\overset{v}{˙}_{x} = - 0.02 v v_{x}, \overset{v}{˙}_{y} = - 30 - 0.02 v v_{y}

Reading this result: With this much air drag the range-optimal angle falls below 45° (toward ~35°), and the descent is steeper than the climb.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

Also for:Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders General version →

More with Projectile Motion

Projectile Motion for a projectile from a cannon Projectile Motion for a bouncing ball Projectile Motion for a pendulum clock Projectile Motion for a car braking Projectile Motion for a roller-coaster loop Projectile Motion for a satellite orbit Projectile Motion for a mass on a spring Projectile Motion for a skydiver's free fall

Frequently asked questions

Is this good for students?: Yes — this version of "Projectile Motion for a yo-yo" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.