According to our current understanding of physics, it is not possible for an object with mass to reach or exceed the speed of light in any circumstances, including inside a black hole. The theory of special relativity, developed by Albert Einstein, establishes the speed of light in a vacuum, denoted by 'c', as the ultimate speed limit in the universe.
Black holes are regions of extremely strong gravitational forces, resulting from the collapse of massive stars. Inside a black hole, the gravitational pull is so intense that it distorts space and time to an extreme degree. This distortion is described by the theory of general relativity. However, even within a black hole, the speed of light remains the maximum attainable speed.
As an object with mass accelerates towards the speed of light, its relativistic mass increases, and an infinite amount of energy would be required to accelerate it to or beyond the speed of light. Therefore, it is considered impossible for any object with mass, including within a black hole, to achieve or exceed the speed of light.