When a driver is ticketed after a crash, he or she will generally be given a date to appear in court and enter a plea, guilty/not guilty. It is very important that the bicyclist appear at that court date. The cyclist will be the complaining witness, without whom the prosecution will not be able to prove a traffic violation (assuming the issuing police officer did not actually witness the incident). The officer that wrote the ticket will generally not be permitted to testify as to what someone else said happened. Such testimony is considered hearsay and cannot serve as a basis for a conviction. It is a good idea to arrive at the hearing early so you or your lawyer can seek out the prosecutor and let them know that you are present and ready to testify against the driver. In city traffic court the prosecutor will have about a zillion cases he or she is dealing with at once and will likely appreciate the presence of a complaining witness willing to cooperate and explain what the case is about. Depending on what the presiding judge generally allows, the prosecutor may then seek out the driver in the courtroom and explain their options. Sometimes an agreement to plead guilty will result in a lesser punishment for the driver then a finding of guilt by the judge after a time consuming trial. In my experience, many drivers take that deal. This is important. A plea of guilty in the criminal/traffic case is admissible in evidence as an admission in the subsequent civil/personal injury case. The driver will have a very difficult time wiggling free from a claim of negligence after pleading guilty. However, a finding of guilt (or not) at trial is not admissible in the personal injury case. In most jurisdictions a jury considering the personal injury case would never learn of the earlier verdict arising from the traffic citation.
So, if the driver is ticketed after a crash, great. Go to the traffic citation hearing. If the driver does not get a ticket, do not sweat it.