Projectile Motion & Ballistic Trajectory Calculator (Max Height, Range, Time)
Calculate total flight time, maximum apex height, horizontal range, and velocity components of a launched projectile given initial velocity and launch angle.
Calculator Inputs
Live Real-TimeTotal Horizontal Range (R)
Maximum Height Apex (H)
31.48 meters
Total Flight Time
5.07 seconds
Horizontal Velocity (Vx)
24.5 m/s
Initial Vertical Velocity (Vy)
24.85 m/s
Max Range Angle: At 45 degrees, the projectile achieves theoretical maximum horizontal distance.
Trajectory Metrics Breakdown
Detailed Calculation Breakdown
Calculation Methodology
Vx = V₀ * cos(θ), Vy = V₀ * sin(θ). Time of flight = (2 * Vy) / g. Max Height = Vy² / (2g). Horizontal Range = (V₀² * sin(2θ)) / g.
Important Legal & Educational Disclaimer
This physics tool calculates idealized 2D projectile kinematics under uniform Earth gravity (9.81 m/s²) without air resistance.
This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.
Frequently Asked Questions
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