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Generally speaking, a projectile with greater volume faces greater air resistance, reducing the range of the projectile. (And see Trajectory of a projectile.) Air resistance drag can be modified by the projectile shape: a tall and wide, but short projectile will face greater air resistance than a low and narrow, but long, projectile of the same ...
Parabolic Projectile Motion: Shooting a Harmless Tranquilizer Dart at a Falling Monkey by Roberto Castilla-Meléndez, Roxana Ramírez-Herrera, and José Luis Gómez-Muñoz, The Wolfram Demonstrations Project. Trajectory, ScienceWorld. Java projectile-motion simulation, with first-order air resistance. Archived 3 July 2012 at the Wayback Machine
In this equation, the origin is the midpoint of the horizontal range of the projectile, and if the ground is flat, the parabolic arc is plotted in the range . This expression can be obtained by transforming the Cartesian equation as stated above by y = r sin ϕ {\displaystyle y=r\sin \phi } and x = r cos ϕ {\displaystyle x=r\cos \phi } .
For the purposes of mathematical convenience for any standard projectile (G) the C b is 1.00. Where as the projectile's sectional density (SD) is dimensionless with a mass of 1 divided by the square of the diameter of 1 caliber equaling an SD of 1. Then the standard projectile is assigned a coefficient of form of 1.
The paraboloid of revolution obtained by rotating the safety parabola around the vertical axis is the boundary of the safety zone, consisting of all points that cannot be hit by a projectile shot from the given point with the given speed.
A projectile is any object projected into space (empty or not) by the exertion of a force. Although any object in motion through space (for example a thrown baseball) is a projectile, the term most commonly refers to a weapon. [8] [9] Mathematical equations of motion are used to analyze projectile trajectory. [citation needed]
[note 3] At 300 m (328 yd) range the differences will be hardly noticeable, but at 600 m (656 yd) and beyond the differences grow over 10 m/s (32.8 ft/s) projectile velocity and gradually become significant. At 1,500 m (1,640 yd) range the projectile velocity predictions deviate 25 m/s (82.0 ft/s), which equates to a predicted total drop ...
--Msittig 04:41, 19 November 2014 (UTC) Reference "maximum distance of the range of a projectile” The formula for angle for max range is incorrect When I used v=146.67 ft/sec, yo=100 feet and g=32.174 ft/sec sq, your formula gives 55.6 degrees and I get 41.3 by iteration though angles of theta I also solved for the Sin(Theta) that macked the ...