Projectile Motion Calculator
Calculate launch range, maximum height, and flight duration.
Last reviewed by the myCalculator Editorial Team
Input Parameters
Calculation Results
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Formula & How Projectile Motion Calculator Works
Ignoring air resistance, a projectile launched at speed v₀ and angle θ travels a horizontal range R = v₀² × sin(2θ) ÷ g. At 20 m/s and 45° the range is 400 × 1 ÷ 9.81 = about 40.8 m, which is the maximum for that speed. At 30° the range is 400 × 0.866 ÷ 9.81 = 35.3 m, and 60° gives the same distance because sin(2θ) is symmetrical. The time of flight is 2 × v₀ × sin(θ) ÷ g. Air drag, spin and launching from a height change the real path, so treat the result as an ideal figure for study and estimating.
- Enter Launch Initial Velocity (m/s): Input your target parameter value.
- Enter Launch Angle (degrees): Input your target parameter value.
- Apply Formula: Calculate using
Range = (v₀² sin 2θ) / g. - Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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MyCalculator.com.au. (2026). Projectile Motion Calculator. Retrieved October 24, 2026, from https://www.mycalculator.com.au/calculators/physics/projectile-motion
MyCalculator.com.au. (2026) 'Projectile Motion Calculator'. Available at: https://www.mycalculator.com.au/calculators/physics/projectile-motion (Accessed: 24 October 2026).
Frequently Asked Questions (FAQs)
What launch angle maximizes distance?
45 degrees yields maximum range under ideal conditions.
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