Calculateur de Portée de Projectile Gratuit
Calculez la portée d'un projectile à partir de la vitesse initiale et de l'angle de lancement.
m/s
degrees
m/s²
Horizontal Range
91.74 m
Horizontal Range vs Launch Velocity
Formule
Projectile Range
For a projectile launched from and landing at the same elevation:
Formula
R = v² * sin(2*theta) / g
Maximum range occurs at a 45-degree launch angle. The range is symmetric about 45 degrees (e.g., 30 and 60 degrees give the same range).
Exemple Résolu
A ball is launched at 30 m/s at 45 degrees.
- 01R = v² * sin(2 * theta) / g
- 02R = 900 * sin(90°) / 9.81
- 03R = 900 * 1 / 9.81
- 04R = 91.74 m
Questions Fréquentes
At what angle is the range maximized?
45 degrees gives the maximum range on flat ground, because sin(2 * 45°) = sin(90°) = 1.
Does air resistance affect projectile range?
Yes. This formula assumes no air resistance. In reality, drag reduces both range and maximum height.
Why do complementary angles give the same range?
Because sin(2*theta) = sin(180° - 2*theta). For example, sin(60°) = sin(120°), so 30° and 60° produce equal ranges.
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