The speed of light (299 792 458 m/s in vacuum) is the fastest we know. It is not possible to smoothly accelerate a material object to, or beyond, the speed of light.
Only things without mass can reach the speed of light. One or both of Einstein's Theories of Relativity describes why nothing can go faster than the speed of light. I think of it as a time paradox - once you reach the speed of light, you stop feeling time.