The height or distance required for an object not to bounce when hitting the ground depends on several factors, including the properties of the object, the nature of the surface it hits, and the angle and speed at which it impacts. In general, if an object falls from a sufficient height and/or distance, it will experience a significant impact force upon hitting the ground and may bounce.
However, if we assume an ideal scenario with a perfectly rigid and immovable surface, the object would need to fall from a height such that its impact energy is completely absorbed upon collision, resulting in no bouncing. This condition can be achieved by ensuring that the object's kinetic energy upon impact is dissipated entirely, typically through deformation or breaking.
The specific height or distance required for this would depend on the object's material properties and the surface it hits. Softer and more deformable objects may require a smaller fall height to prevent bouncing, whereas harder and less deformable objects may require a larger fall height.
It's worth noting that in real-world scenarios, it is challenging to achieve a complete absence of bouncing upon impact, as there is always some amount of energy loss due to factors like elasticity, surface roughness, and rebound effects.