Would having two speeding tickets affect me wanting to become a state trooper?

I have got 2 speeding tickets in the past couple of weeks. 49 in a 40 and 59 in a 35 school zone. i have 2 points because of the 49 in a 40. i will prob have my licenses suspended for the school zone one. i don't really know why i got to tickets all of a sudden. I really want to be a state trooper and eventually swat. since then i have learned to drive responsibly. i have 3.5 years of college left. i would apply to be a trooper in say 4 years. could i still be a cop/trooper or will these 2 tickets end my dream of being either of those in 3.5 to 4 years.