Calcolatrice Gittata del Proiettile Gratuita
Calcola la gittata di un proiettile da velocità e angolo di lancio.
m/s
degrees
m/s²
Horizontal Range
91.74 m
Horizontal Range vs Launch Velocity
Formula
## 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).
Esempio Risolto
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
Domande Frequenti
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.
Impara