According to our current understanding of physics, it is not possible for anything with mass to travel faster than the speed of light in a vacuum. This is based on Einstein's theory of special relativity, which states that the speed of light in a vacuum is the ultimate speed limit in the universe.
When an object with mass accelerates close to the speed of light, its mass effectively increases, and the energy required to continue accelerating it further becomes infinite. As a result, it would require an infinite amount of energy to propel a spaceship to or beyond the speed of light. This limitation is known as the "mass-energy equivalence."
Regarding the scenario of a spaceship trying to escape a black hole, it is important to note that black holes have an incredibly strong gravitational pull due to their immense mass. Once an object crosses the event horizon (the boundary beyond which nothing, not even light, can escape), it is generally believed to be impossible to escape the gravitational pull of the black hole.
If a spaceship were somehow able to exceed the speed of light, it would violate our current understanding of physics and the principles of causality. The effects of such superluminal travel on the spaceship and its occupants are not well-defined within the framework of our current scientific knowledge.
It's worth mentioning that scientific understanding and theories can evolve over time. However, the concept of faster-than-light travel remains speculative and unsupported by empirical evidence.