LazrRd00GT

Im thinking somethings wrong with my trannsmission because the other night i opened my car up from a dead stop on rt 7 and it was in drive so it shouldve shifted into second but it didnt the rpms hit the rev limiter really hard and i had to take my foot off the gas for a second to get it to shift. I think its starting to slip but not too shure it also slips when i am doing about 40 mph and floor it the rpms go up for a second then the car jerks forward. What do you guys think?