Projectile motion calculator

Calculate flight time, range and height for a projectile landing at its launch elevation.

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Launch speed (m/s)

Angle above horizontal (degrees)

More inputs and assumptions

Downward acceleration (m/s²)

Answer

…

Calculate flight time, range and height for a projectile landing at its launch elevation.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

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Formula and assumptions

Vertical velocity = speed × sin(angle); time = 2vy/g; range = vx × time; height = vy²/(2g). You supply constant downward acceleration. No drag, wind, curvature or unequal launch/landing elevations.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Projectile motion calculator

Calculate flight time, range and height for a projectile landing at its launch elevation.

Next: Kinetic energy calculator

A worked example

Example inputs: launch speed (m/s) = 10, angle above horizontal (degrees) = 30, downward acceleration (m/s²) = 10. Flight time to level ground (s) = 1.

Before you use the result

Example results for launch speed (m/s)

These examples use Angle above horizontal (degrees): 30; Downward acceleration (m/s²): 10. They are reference calculations, not recommended settings.

Launch speed (m/s)	Flight time to level ground (s)
5	0.5
10	1
20	2

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