Re: He escaped the accident.
Raymott's explanation of the two sentences about an accident were quite clear and I agree entirely.
Your example about jail is not the same and it has a couple of problems. We don't say "He escaped the jail".
He escaped jail = He was on trial and was either found not guilty, or he was found guilty but his sentence was something other than jail time.
He escaped from jail = He was in jail, serving time for an offence and he managed to escape from the prison. Presumably now lots of people are looking for him!
Remember - correct capitalisation, punctuation and spacing make posts much easier to read.