Projectile Motion Calculator

Initial Velocity (v₀ in m/s): Launch Angle (θ in degrees): Initial Height (h₀ in meters):

Result

Maximum Height: - meters

Time of Flight: - seconds

Horizontal Range: - meters

The Projectile Motion Calculator helps analyze the trajectory of an object launched into the air at an angle. It computes important parameters such as maximum height, time of flight, horizontal range, and final velocity, based on initial conditions like speed and launch angle.

The key equations for projectile motion are:

• Horizontal range (R) = (v₀² × sin(2θ)) / g
• Maximum height (H) = (v₀² × sin²θ) / (2g)
• Time of flight (T) = (2 × v₀ × sinθ) / g

Where:

• v₀ is the initial velocity (in m/s)
• θ is the launch angle (in degrees)
• g is the acceleration due to gravity (9.8 m/s²)

How to Use the Projectile Motion Calculator

1. Enter the initial velocity and launch angle.
2. Select appropriate units for input values.
3. The calculator will instantly compute the trajectory parameters.

Applications

• Physics experiments involving motion
• Sports science (e.g., ball trajectory analysis)
• Engineering design involving projectile paths

Benefits of Using the Calculator

This tool simplifies complex calculations and ensures precise results, saving time for students, researchers, and engineers studying motion dynamics.

Conclusion

The Projectile Motion Calculator provides an efficient way to understand and solve problems involving projectile paths. Whether for academic learning or practical applications, this tool delivers accurate results and aids in mastering motion concepts.