Emely, if you are asking what the pace is, then it depends on the city. If you are asking about pro-active policing, it depends on the individual, or a particular watch commander. And sometimes, just the department itself mandates it. I know police officers, that don’t go looking for trouble. They just answer calls and stay moderately vigilant on duty. I’ve seen one officer, in a city that I lived in , pull over an eleven year old on his bicycle and asked him if he was on probation, or parole. The best police officers, that I’ve ever seen and worked with, are the real quiet and polite ones. So if you want to listen in on busy,, or slow, go to http://Broadcastify.com/ Any major city, like Chicago, New York, Los Angeles, are good places to listen to active. The best one, is Cook County, IL. Chicago Police (Zone 6 district seven and eight. ) Its inspiring and quite entertaining. You will hear, over the air, some of the difficulties. Listen to the nature of the call and the call notes. You will be able to tell real fast, what the difficulties might be, when they arrive.
For a slower pace, look at something like, Dallas County, IA. You make like that pace better. If you apply for departments, in the future, pick ones first, where your back up is close. Sheriff’s Offices and State Police, isn’t always as close as city police.
For police, if they aren't investigating a crime, then they are patrolling to suppress crime.
For prosecutors, there are too many crimes and not enough lawyers and courts. We can only choose the ones that must be prosecuted.
The difficult part of the job, for both, is that it is a thankless job and everyone hates you until they need you.
The rewarding aspect of working for law enforcement: At the end of the day you know that you've done Justice in the world and have helped so many people that were in dire need.