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Projectile Motion Calculator

Calculate range, maximum height, time of flight, and velocity components from launch parameters.

Initial Velocity (v₀)

Launch Angle (θ)

Initial Height (h₀)

Gravity (g)

m/s²

Angle: 0° 90°

About Projectile Motion Calculator

Projectile Motion Calculator is a free scientific calculation tool that helps students, researchers, and engineers calculate range, maximum height, time of flight, and velocity components from launch parameters. Instead of looking up formulas and calculating by hand, enter your values and get instant, accurate results with clear explanations of the underlying science.

How to Use

Enter your known values Fill in the input fields with the values you have. The tool will calculate the unknowns.

Select units if applicable Choose the correct units for your calculation to ensure accurate results.

Review the solution Check the calculated result along with any formulas, steps, or diagrams shown.

Explore different values Change inputs to see how different values affect the outcome. Great for building scientific intuition.

🔒 Privacy note: All processing happens locally in your browser. Your data is never sent to any server.

Why Use Projectile Motion Calculator?

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Verified Formulas Projectile Motion Calculator implements standard scientific formulas from physics, chemistry, and mathematics textbooks. Results you can trust for homework, research, and engineering.

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Step-by-Step Solutions Where applicable, see not just the answer but the calculation steps. Perfect for learning and verifying your own work.

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Instant Computation Complex calculations that take minutes by hand are solved in milliseconds. Explore different scenarios and parameters quickly.

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Great for Students Whether you're in high school physics or graduate-level engineering, Projectile Motion Calculator helps you check your work and build intuition for the underlying concepts.

Frequently Asked Questions

Projectile motion is the motion of an object thrown or launched into the air, subject only to gravity. The horizontal and vertical components of motion are independent: horizontally, the object moves at constant velocity (no air resistance); vertically, it accelerates downward due to gravity at 9.81 m/s².

For a projectile launched from ground level (h₀ = 0) with no air resistance, the maximum horizontal range is achieved at exactly 45°. This is because the range formula R = v²sin(2θ)/g is maximized when sin(2θ) = 1, meaning 2θ = 90°, so θ = 45°. With initial height or air resistance, the optimal angle changes.

Gravity affects only the vertical component of motion. A stronger gravity (e.g., on Jupiter, g ≈ 24.8 m/s²) reduces both maximum height and range. On the Moon (g ≈ 1.62 m/s²), a baseball can travel about 6× farther than on Earth at the same launch speed and angle.