Projectile Motion Calculator (Velocity and Angle)

Find the range, maximum height, flight time, and velocity components from initial speed and launch angle.

Input

Enter the initial speed and the launch angle from the horizontal to compute the range, maximum height, and flight time of the projectile.

Initial speed v0

m/s

The speed at launch, in meters per second.

Launch angle θ

deg

The angle from the horizontal. Enter a value between 0 and 90 degrees.

Gravitational acceleration g = 9.80665 m/s² is used.

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.

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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