How do I simulate a cycling time trial?

Open this page and use the live Basketball Shot Arc tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a cycling time trial from your own measurements.

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Basketball Shot Arc for a cycling time trial

Simulate a cycling time trial live in your browser. This runs the real Basketball Shot Arc solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Basketball Shot ArcLive

the physics of a jump shot

Controls

Presets

Distance to hoop (m)

Release height (m)

Launch angle (°)

A basketball shot must arrive at the rim from above to have a chance of dropping in. Too flat and the ball meets the front rim; too steep and it needs excess speed. Coaches prize an entry angle around 43–47°, which maximizes the effective size of the hoop the ball sees. Higher release points let shorter players shoot flatter and still score.

▶ Run in Python

Data Inspector

Required speed8.3 m/s

Entry angle41°

Arc qualityideal

Governing equation

v = \frac{g d ^{2}}{2 cos ^{2} θ ( d tan θ - Δ h )}, θ = 5 0^{\circ}, θ_{entry} \approx 4 1^{\circ}

Reading this result: Clean shot: a 41° entry sits in the ideal 40–55° window, so the ball sees the widest effective hoop at 8.3 m/s.

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

or unlock everything with Pro →

About this simulation

The full Basketball Shot Arc tool models a cycling time trial with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Basketball Shot Arc

Basketball Shot Arc for a basketball free throw Basketball Shot Arc for a soccer penalty Basketball Shot Arc for a baseball pitch Basketball Shot Arc for a golf putt Basketball Shot Arc for a tennis serve Basketball Shot Arc for a football field goal Basketball Shot Arc for a sprint race Basketball Shot Arc for a marathon pace

Other ways to simulate a cycling time trial

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Frequently asked questions

How do I simulate a cycling time trial?: Open this page and use the live Basketball Shot Arc tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a cycling time trial from your own measurements.