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  2. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_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 ( y = 0 {\textstyle y=0} ).

  4. 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.

  5. Projectile - Wikipedia

    en.wikipedia.org/wiki/Projectile

    Maximum Height (): this is the maximum height attained by the projectile OR the maximum displacement on the vertical axis (y-axis) covered by the projectile. It is given as H = U 2 sin 2 ⁡ θ / 2 g {\displaystyle H=U^{2}\sin ^{2}\theta /2g} .

  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. Internal ballistics - Wikipedia

    en.wikipedia.org/wiki/Internal_ballistics

    Internal ballistics (also interior ballistics), a subfield of ballistics, is the study of the propulsion of a projectile.. In guns, internal ballistics covers the time from the propellant's ignition until the projectile exits the gun barrel. [1]

  9. 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.