Car is jerking while driving?

My mom bought a 1995 honda accord today the guy said it runs perfect which so far it does (he kept good care of it inside/outside also) but we noticed when she's driving it kind of jerks like if it were a stick(its a automatic) shift like youll be driving at 20 then at 30mph itll jerk then at 40 then at 50 but it stops at a certain point until yiu start accelerating again. What could this be? Because its older?transmission?

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