A black hole is an extremely dense object whose gravity is so strong that nothing, not even light, can escape it. Every object in space has an 'escape velocity': the minimum speed at which something must move to escape the object's gravitational field. On the surface of Earth, the escape velocity is about 11 kilometres per second, meaning that..

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For a body with a radius less than 2GM/c² the escape velocity increases to more than 3.0 x 10⁸ meters per second, the speed of light in a vacuum tells us that not even light can outrace gravity.. is no. The text of your question gets confusing and contains a lot of assumptions that are not correct. There's no "special" acceleration happening at or near the event horizon. If things could travel faster than the speed of light there, then they would potentially be able to escape the black hole. The hole is "black" because things are.