Final answer:
The equations s=0.5gt², s=gt², s=2gt², or s=4gt² relate to the distance an object in free fall would travel under the influence of gravity, but they do not accurately represent the horizontal distance a bullet travels into a bale of paper. The distance penetrated by the bullet would depend on other factors than gravity.
Step-by-step explanation:
The question asks about the distance a bullet travels into a bale of paper when fired horizontally. None of the equations provided (s=0.5gt², s=gt², s=2gt², or s=4gt²) correctly describe this scenario because these equations represent the distance an object falls due to gravity, not the distance a bullet travels horizontally into a bale of paper. In a horizontal scenario without any vertical acceleration component (ignoring air resistance and other forces except for the force exerted by the bale), the forces acting on the bullet are not related to gravitational acceleration. The distance the bullet would travel into the bale would be more a function of the bullet's momentum, the resistance of the bale, and possibly other factors like the bullet's design, but not directly due to gravity alone.
Therefore, if we are strictly talking about the penetration distance due to gravity alone, the correct answer would be that none of the options correctly represent the scenario provided.