A cannon is firing from the top of the hill, forming a pi/6 angle with the horizontal plane. The barrel of the cannon forms a certain height with the horizontal plane at the time of the firing, and it is fired so that the projectile lands on the bottom part of the hill 6 kilometers from the cannon. Determine the projectile's minimum speed at the time it was shot from the barrel, as well as the magnitude of the barrel's elevation. Ignore any opposing forces.

A cannon is firing from the top of the hill, forming a pi/6 angle with the horizontal plane. The barrel of the cannon forms a certain height with the horizontal plane at the time of the firing, and it is fired so that the projectile lands on the bottom part of the hill 6 kilometers from the cannon. Determine the projectile's minimum speed at the time it was shot from the barrel, as well as the magnitude of the barrel's elevation. Ignore any opposing forces.