Mass also becomes important, as a more massive projectile will have more kinetic energy, and will thus be less affected by air resistance. However, certain irregularities such as dimples on a golf ball may actually increase its range by reducing the amount of turbulence caused behind the projectile as it travels. The surface of the projectile also must be considered: a smooth projectile will face less air resistance than a rough-surfaced one, and irregularities on the surface of a projectile may change its trajectory if they create more drag on one side of the projectile than on the other. (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 volume. Generally speaking, a projectile with greater volume faces greater air resistance, reducing the range of the projectile. JSTOR ( July 2017) ( Learn how and when to remove this template message).
Unsourced material may be challenged and removed.įind sources: "Range of a projectile" – news Please help improve this article by adding citations to reliable sources. This subsection needs additional citations for verification. In addition to air resistance, which slows a projectile and reduces its range, many other factors also have to be accounted for when actual projectile motion is considered. This means that θ + ψ must be 90 degrees. The maximum horizontal distance traveled by the projectile, neglecting air resistance, can be calculated as follows: d = v cos θ g ( v sin θ + v 2 sin 2 θ + 2 g y 0 ) , For longer ranges see sub-orbital spaceflight. The following applies for ranges which are small compared to the size of the Earth. It may be more predictable assuming a flat Earth with a uniform gravity field, and no air resistance. In physics, a projectile launched with specific initial conditions will have a range. The path of this projectile launched from a height y 0 has a range d.
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