Speed of Release. Angle of Release. Height of Release. Maximum range of a projectile launched from an elevation physics classical-mechanics. Projectile Motion Formulas.
A projectile is an object that is given an initial velocity, and is acted on by gravity. The lift equation states that lift L is equal to the lift coefficient Cl times the density r times half of the velocity V squared times the wing area A.
For given air conditions, shape, and inclination of the object, we have to determine a value for Cl to determine the lift. A projectile is any object that is cast, fired, flung, heaved, hurled, pitched, tossed, or thrown. This is an informal definition. The path of a projectile is called its trajectory. Some examples of projectiles include… a baseball that has been pitched, batted, or thrown. The horizontal range of a projectile is the distance along the horizontal plane it would travel, before reaching the same vertical position as it started from.
The unit of horizontal range is meters m. Time of flight or total time of the whole journey The total time t for which the projectile remains in the air is called the time of flight. Note that we have neglected air resistance on the projectile. A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, the mass might be a projectile or a satellite.
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That may look like a complicated equation, but a couple of the variables can be ignored. First, because the force of gravity is constant, g will be the same no matter how a punter kicks the ball.
Second, for a punter trying to boot a ball as far as possible, you can assume that he is kicking as hard as he physically can, so v depends simply on how hard he can kick, not on any strategic decision for a given punt. The only choice he has to make to maximize distance, then, is the angle at which he kicks the ball.
A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees. But what about trying to maximize a projectile's height to increase hang time? Once again, we can ignore v and g, for the same reasons as above.
Anyone looking to loft a projectile as high as possible would simply launch it as fast as possible, and gravity is constant. That means that the best way to launch a high-altitude projectile is to send it flying at a degree angle to the ground—straight up. Of course, a vertical punt doesn't help much with field position, so you're not likely to see a degree punt on the football field anytime soon.
Not on purpose, anyway.
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