Range of a projectile

It may be more predictable assuming a flat Earth with a uniform gravity field, and no air resistance.

The horizontal ranges of a projectile are equal for two complementary angles of projection with the same velocity.

This assumption simplifies the mathematics greatly, and is a close approximation of actual projectile motion in cases where the distances travelled are small.

Ideal projectile motion is also a good introduction to the topic before adding the complications of air resistance.

Our equations of motion are now and Once again we solve for (t) in the case where the (y) position of the projectile is at zero (since this is how we defined our starting height to begin with) Again by applying the quadratic formula we find two solutions for the time.

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.

[citation needed] Mass also becomes important, as a more massive projectile will have more kinetic energy, and will thus be less affected by air resistance.

Longer barrels allow more of the propellant's energy to be given to the projectile, yielding greater range.

During World War I the Germans created an exceptionally large cannon, the Paris Gun, which could fire a shell more than 80 miles (130 km).

North Korea has developed a gun known in the West as Koksan, with a range of 60 km using rocket-assisted projectiles.