Projectile Motion Calculator

Split the launch velocity into horizontal and vertical parts: vx = v0·cos(θ), vy = v0·sin(θ). Flight time is t = (vy + √(vy² + 2gh0)) / g, and range is R = vx·t. For ground-level launches this simplifies to R = v0²·sin(2θ)/g.

45 degrees — but only for a ground-level launch (initial height of 0) with no air resistance. Launching from a height shifts the best angle lower, and real drag pushes it lower still.

At the peak the vertical velocity is zero, so H = h0 + vy² / (2g), where vy = v0·sin(θ) is the vertical launch speed, h0 is the starting height, and g = 9.81 m/s².

No — it models ideal projectile motion: constant gravity (9.81 m/s²), no drag, no wind, no spin. Real projectiles with significant drag (like a golf ball or a parachuted payload) travel shorter and lower than these numbers.

Meters and seconds: launch speed in m/s, angle in degrees, height in meters. Outputs are range in meters, max height in meters, and flight time in seconds.