# Ballistics

Ignoring the curvature of the Earth, frictional losses and that g is constant it is possible to calculate the trajectory of a projectile that is fired with a given initial velocity and elevation.

**Velocity**

**Trajectory**

**Maximum Height**

**Horizontal Range**

- where
**v**= velocity at t [ms^{-1}]*v*_{0}= initial velocity [ms^{-1}]- α = elevation angle [radians]
*g*= standard acceleration due to gravity [ms^{-2}]*l*= range [m]*h*= maximum height [m]*t*= time [s]

**See also: **Aeroballistics.

**Subjects: ** Classical Mechanics