⚛️ Science

Projectile Motion Calculator

Calculate range, max height and flight time of a projectile launched from ground level.

m/s
°
m/s²

Results

Range
63.732 m
Max height
15.933 m
Flight time
3.605 s

📊 Projectile Motion Calculator chart

Trajectory — plotted against horizontal distance (m).

What is the Projectile Motion Calculator?

Calculate range, max height and flight time of a projectile launched from ground level. These physics and science calculators apply standard SI formulas with exact constants (such as g = 9.80665 m/s² and the 2019 SI definitions) for students, engineers and curious minds.

Projectile Motion Calculator – free online science tool illustration
Projectile Motion Calculator — free, exact and private.

How to use the Projectile Motion Calculator

  1. Enter your launch speed, your launch angle, your gravity.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: range, max height, flight time.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

R = v² sin 2θ ÷ g

Worked example

With launch speed = 25 m/s, launch angle = 45 °, gravity = 9.80665 m/s², the Projectile Motion Calculator returns range: 63.732 m; max height: 15.933 m; flight time: 3.605 s.

Tips for better results

  • Convert inputs into SI units first for the cleanest results.
  • Idealized formulas ignore friction and air resistance unless stated.
  • Use our unit converters to switch between metric and imperial results.

Frequently asked questions

What does the Projectile Motion Calculator do?

Calculate range, max height and flight time of a projectile launched from ground level.

How is it calculated?

The Projectile Motion Calculator uses this method: R = v² sin 2θ ÷ g.

Can you show an example?

With launch speed = 25 m/s, launch angle = 45 °, gravity = 9.80665 m/s², the Projectile Motion Calculator returns range: 63.732 m; max height: 15.933 m; flight time: 3.605 s.

Is the Projectile Motion Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Projectile Motion Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

Related tools

Ideal Gas Law CalculatorSolve PV = nRT for pressure given moles, temperature and volume.Molarity CalculatorCalculate the molarity of a solution from mass, molar mass and volume.Dilution Calculator (C1V1 = C2V2)Find the volume of stock solution needed to make a dilution.Heat Index CalculatorCalculate the heat index (“feels like” temperature) from air temperature and humidity.Wind Chill CalculatorCalculate wind chill temperature from air temperature and wind speed.Dew Point CalculatorCalculate dew point from temperature and relative humidity (Magnus formula).Speed CalculatorCalculate average speed from distance and time.Distance Calculator (Speed × Time)Calculate distance traveled from speed and time.

📬 Get new tools first — free

Join Taurang to hear about new calculators, converters and features. No spam; unsubscribe anytime.

Create free account