User:Zoey The Edgedancer/Projectile Physics

Angle of a Projectile
The angle in which a projectile is fired is calculated by

Tan-1(h/d) or Arctan(h/d)

Height of a Projectile
If you do not know the angle in which the projectile is thrown, the time to reach maximum height is:

(vh*sqrt(d2 + h2)) ÷ (d2g + h2g)

Range of a Projectile
(v * cos(θ)) ÷ g) * (v * sin(θ) + Sqrt(v2 Sin2(θ)+2gy0))


 * d is the total horizontal distance travelled by the projectile.
 * v is the velocity at which the projectile is launched
 * g is the gravitational acceleration—usually taken to be 9.81 m/s2 near the Earth's surface
 * θ is the angle at which the projectile is launched
 * y0 is the initial height of the projectile

When launched on flat ground, where the height is assumed to be 0, this formula simplifies to

(v2 ÷ g) * Sin(2θ)