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Parabolic water motion trajectoryComponents of initial velocity of parabolic throwingBallistic trajectories are parabolic if gravity is homogeneous and elliptic if it is round.
Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only. In the particular case of projectile motion on Earth, most calculations assume the effects of air resistance are passive and negligible. The curved path of objects in projectile motion was shown by Galileo to be a parabola, but may also be a straight line in the special case when it is thrown directly upward or downward. The study of such motions is called ballistics, and such a trajectory is a ballistic trajectory. The only force of mathematical significance that is actively exerted on the object is gravity, which acts downward, thus imparting to the object a downward acceleration towards the Earth’s center of mass. Because of the object's inertia, no external force is needed to maintain the horizontal velocity component of the object's motion. Taking other forces into account, such as aerodynamic drag or internal propulsion (such as in a rocket), requires additional analysis. A ballistic missile is a missile only guided during the relatively brief initial powered phase of flight, and whose remaining course is governed by the laws of classical mechanics.
Ballistics (from Ancient Greek βάλλεινbállein 'to throw') is the science of dynamics that deals with the flight, behavior and effects of projectiles, especially bullets, unguided bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance.
Trajectories of a projectile with air drag and varying initial velocities
The elementary equation of ballistics neglect nearly every factor except for initial velocity and an assumed constant gravitational acceleration. Practical solutions of a ballistics problem often require considerations of air resistance, cross winds, target motion, varying acceleration due to gravity, and in such problems as launching a rocket from one point on the Earth to another, the rotation of the Earth. Detailed mathematical solutions of practical problems typically do not have closed-form solutions, and therefore require numerical methods to address.
Projectilemotion is a form of motion experienced by an object or particle (a projectile) that is projected in a gravitational field, such as from Earth's...
influence of gravity and air resistance. Although any objects in motion through space are projectiles, they are commonly found in warfare and sports (for example...
close approximation of actual projectilemotion in cases where the distances travelled are small. Ideal projectilemotion is also a good introduction to...
Newton's second law of motion: force equals mass times acceleration, for such situations. The ideal case of motion of a projectile in a uniform gravitational...
baseball) is a projectile, the term most commonly refers to a ranged weapon. Mathematical equations of motion are used to analyze projectile trajectory.[citation...
closely bound to Lombard; for example he incidentally theorises on projectilemotion, views now thought to be taken from Richard Rufus of Cornwall. He...
A ballistic missile (BM) is a type of missile that uses projectilemotion to deliver warheads on a target. These weapons are powered only during relatively...
secondary theory of Aristotelian dynamics, put forth initially to explain projectilemotion against gravity. It was introduced by John Philoponus in the 6th century...
commentaries on Aristotle in the Western world. While his work on projectilemotion was never translated from Arabic to Latin, his views became well known...
velocity, gravity and free fall, the principle of relativity, inertia, projectilemotion and also worked in applied science and technology, describing the...
time, declared correctly that this kind of motion was identifiable with freely falling bodies and projectiles, without his proving these propositions or...
that of projectilemotion, which was discussed by Hipparchus and Philoponus. Persian Islamic polymath Ibn Sīnā published his theory of motion in The Book...
the First day. The Fourth day discusses projectilemotion. In Two Sciences uniform motion is defined as a motion that, over any equal periods of time, covers...
for describing the motion of macroscopic objects moving at speeds significantly slower than the speed of light, from projectiles to parts of machinery...
from this buoyancy causes the body's natural motion, that projectilemotion (distinct from natural motion) is believed to be the result of an impressed...
non-natural motion". Such a self-motion (mayl) is "almost the opposite of the Aristotelian conception of violent motion of the projectile type, and it...
in motion until the mayl is spent. He also claimed that projectile in a vacuum would not stop unless it is acted upon. This conception of motion is consistent...
[462, 468], Paris. (cf. Abel B. Franco (October 2003). "Avempace, ProjectileMotion, and Impetus Theory", Journal of the History of Ideas 64 (4), p. 521-546...
the part of ballistics that deals with the behavior of a projectile in flight. The projectile may be powered or un-powered, guided or unguided, spin or...
impossible to have projectile ballistics or projectilemotion with hitscan projectiles. There are games that use both hitscan and projectile ballistics, but...
aviation articles Maneuvering Characteristics Augmentation System Projectilemotion Charles Hampson Grant, Model Airplane Design and Theory of Flight...
complex and of interest in sports engineering. The motion of a ball is generally described by projectilemotion (which can be affected by gravity, drag, the...
disks are still used in school physics labs as part of experiments on projectilemotion and position. A substance known as "carbon paper" is also used in...
Classical mechanics is a physical theory describing the motion of objects such as projectiles, parts of machinery, spacecraft, planets, stars, and galaxies...
in a ballistic motion in the arm that propels a projectile forward. It is used almost exclusively in athletic events. The throwing motion can be broken...
ISBN 0-684-10114-9. (cf. Abel B. Franco (October 2003). "Avempace, ProjectileMotion, and Impetus Theory", Journal of the History of Ideas 64 (4), p. 521-546...
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