Projectile Motion Calculator (Velocity and Angle)
Find the range, maximum height, flight time, and velocity components from initial speed and launch angle.
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Input
Enter the initial speed and the launch angle from the horizontal to compute the range, maximum height, and flight time of the projectile.
m/s
The speed at launch, in meters per second.
deg
The angle from the horizontal. Enter a value between 0 and 90 degrees.
Gravitational acceleration g = 9.80665 m/s² is used.
Result
Horizontal range R
40.788649m
Maximum height h
10.197162 m
Flight time T
2.884193 s
Horizontal component vx
14.142136 m/s
Vertical component vy
14.142136 m/s
Computed with R = v0² sin(2θ) / g, h = (v0 sinθ)² / (2g), and T = 2 v0 sinθ / g.
How it works
- The horizontal range is R=v0²sin(2θ)/g.
- The maximum height is h=(v0 sinθ)²/(2g).
- The flight time is T=2v0 sinθ/g.
- The range is greatest when the launch angle is 45 degrees.
- This uses an idealized model that ignores air resistance and assumes launch from level ground.
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