A single shot was fired from a machine gun. Which will fall to the ground first: a bullet or a glass sleeve

A single shot was fired from a machine gun. Which will fall to the ground first: a bullet or a glass sleeve, if we assume that the bullet and the sleeve fly out simultaneously and in the horizontal direction? Neglect air resistance. A) the case will fall before the bullet B) the bullet will fall before the case C) depends on the mass of the bullet and the mass of the case D) at the same time

If we assume that the bullet and the glass sleeve begin to move vertically downward at the same time and without initial velocity, from the same height, then they will fall to the ground at the same time. Since they will move vertically under the influence of gravity only, that is, they will fall freely. They will move with equal acceleration with the same acceleration g = 9.8 m / s ^ 2.
For uniformly accelerated motion without an initial speed, the following formula is valid: h = g * t ^ 2/2.
t = √ (2 * h / 2).
The formula shows that the fall time depends only on the height.
Answer: The bullet and the glass case will fall to the ground at the same time.