I'm not in favor of speed limits. If they want to make rules, I still say no headphones, no dogs, no baby strollers. If you want to walk slowly and take your children, go to the mall. If you want to listen to music you can just stay home. If you want to jog you can jog on the sidewalk in front of your house. Actually there are good alternatives for every activity that happens on the trail, EXCEPT bicycling. I dare say you can find places to jog off of the paved roads in any part of the city, but you can't find safe places to bicycle in every part of the city.
BUT, I don't think bicyclists should ride over 15mph on the trails either. I sometimes ride on the trails near my house, and usually don't go over about 16mph. I ride on the trail because I don't want to ride on the roads. There are plenty of people with kids and dogs and so forth. They think nothing about taking the entire width of the trail without regard to whoever is around, and they WILL move right over in front of you. I ride on the trail early in the season, if I want to go short distances and I'm not in shape for higher speeds. Later in the season when I'm up for more miles and faster speeds, I don't ride on the trails anymore, I use the paved streets. There are some streets in my area that seem relatively safe for bicycling, that is until a Toyota tried to flatten me in June. I'm still recovering from that incident.