Why does the trans shift hard and jerk the car when heated up?

What is your question?

Ok heres what I've been dealing with I picked up the car used last august car drove great did everything I needed it to do. About two weeks later I'm driving the car around a lot I'd say after driving for about 3-4 hours without much of a break, the car when the transmission goes to upshift it will hesitate and stutter jerking the car and you can feel it, then it slams the car into the next gear really hard