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]

v₀ = 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]