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  2. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    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/s 2 (32 f/s 2) near the Earth's surface; θ is the angle at which the projectile is launched; y 0 is the initial height of the projectile

  3. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    The range and the maximum height of the projectile do not depend upon its mass. Hence range and maximum height are equal for all bodies that are thrown with the same velocity and direction. The horizontal range d of the projectile is the horizontal distance it has traveled when it returns to its initial height (=).

  4. Rifleman's rule - Wikipedia

    en.wikipedia.org/wiki/Rifleman's_rule

    Rifleman's rule is a "rule of thumb" that allows a rifleman to accurately fire a rifle that has been calibrated for horizontal targets at uphill or downhill targets. The rule says that only the horizontal range should be considered when adjusting a sight or performing hold-over in order to account for bullet drop.

  5. 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.

  6. 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.

  7. Projectile - Wikipedia

    en.wikipedia.org/wiki/Projectile

    Mathematically, it is given as = ⁡ / where = acceleration due to gravity (app 9.81 m/s²), = initial velocity (m/s) and = angle made by the projectile with the horizontal axis. 2. Time of flight ( T {\displaystyle T} ): this is the total time taken for the projectile to fall back to the same plane from which it was projected.

  8. Ballistic pendulum - Wikipedia

    en.wikipedia.org/wiki/Ballistic_pendulum

    A ballistic pendulum is a device for measuring a bullet's momentum, from which it is possible to calculate the velocity and kinetic energy. Ballistic pendulums have been largely rendered obsolete by modern chronographs , which allow direct measurement of the projectile velocity.

  9. Indirect fire - Wikipedia

    en.wikipedia.org/wiki/Indirect_fire

    In the horizontal plane (azimuth); and; In the vertical plane (elevation), which is governed by the distance (range) to the target and the energy of the propelling charge. The projectile trajectory is affected by atmospheric conditions, the velocity of the projectile, the difference in altitude between the firer and the target, and other ...