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]

See also: Aeroballistics.

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Subjects: Classical Mechanics