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  2. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    The surface of the projectile also must be considered: a smooth projectile will face less air resistance than a rough-surfaced one, and irregularities on the surface of a projectile may change its trajectory if they create more drag on one side of the projectile than on the other. However, certain irregularities such as dimples on a golf ball ...

  3. Parabola of safety - Wikipedia

    en.wikipedia.org/wiki/Parabola_of_safety

    Maximum height can be calculated by absolute value of in standard form of parabola. It is given as H = | c | = u 2 2 g {\displaystyle H=|c|={\frac {u^{2}}{2g}}} Range ( R {\displaystyle R} ) of the projectile can be calculated by the value of latus rectum of the parabola given shooting to the same level.

  4. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    Maximum height of projectile. The greatest height that the object will reach is known as the peak of the object's motion. The increase in height will last until =, that is, = ⁡ (). Time to reach the maximum height(h):

  5. Trajectory - Wikipedia

    en.wikipedia.org/wiki/Trajectory

    To find the angle giving the maximum height for a given speed calculate the derivative of the maximum height = ⁡ / with respect to , that is = ⁡ ⁡ / which is zero when = / =. So the maximum height H m a x = v 2 2 g {\displaystyle H_{\mathrm {max} }={v^{2} \over 2g}} is obtained when the projectile is fired straight up.

  6. Tsiolkovsky rocket equation - Wikipedia

    en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

    A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the ...

  7. External ballistics - Wikipedia

    en.wikipedia.org/wiki/External_ballistics

    Projectile path values are determined by both the sight height, or the distance of the line of sight above the bore centerline, and the range at which the sights are zeroed, which in turn determines the elevation angle. A projectile following a ballistic trajectory has both forward and vertical motion.

  8. Ballistic coefficient - Wikipedia

    en.wikipedia.org/wiki/Ballistic_coefficient

    Many militaries up until the 1860s used calculus to compute the projectile trajectory. The numerical computations necessary to calculate just a single trajectory was lengthy, tedious and done by hand. So, investigations to develop a theoretical drag model began. The investigations led to a major simplification in the experimental treatment of drag.

  9. Rifleman's rule - Wikipedia

    en.wikipedia.org/wiki/Rifleman's_rule

    The correction is computed using the equation = (in ... The sight adjustment procedure can be followed step-by-step. 1. Determine the slant range to the target ...