The law requires that you be personally served.
If the ticket was sent to your mother, she is not obligated to identify you as the driver.
If you end up being personally served, or served under other valid means (such as certified mail), you will need to respond. You are likely eligible to do drivers school instead of paying the ticket (assuming you do not have any other tickets within the past 2 years). This will prevent the ticket from showing up on your driving record.
I would not be too concerned about becoming a police officer. I don't think you would be denied just because of a speeding ticket. I suspect most police officers have received a speeding ticket at some point in their lives.
I agree with the other attorney's comments. However, "IF" you are properly served I would suggest fighting the ticket. These are winnable, if not before the traffic court, certainly on appeal to the superior court. It just depends on how important it is to you to avoid the traffic record or use of traffic school. I also suggest that you follow your case online at the link below to assure that a process server doesn't improperly claim you were served (in which case you or your attorney would have to appear to challenge the process). Good luck.