I suppose the simplest way to illustrate the difference between kinematic and dynamic analyses is to give an example:
Say you're simulating the behavior of the front fork of a motorcycle as it drives down a road. Your simulation includes some forcing function or excititation, in this case a ramp that the tire must roll up and over. The ramp is somewhat steep on the up-side, and drops off abruptly on the down-side. In real life, the motorcycle could "jump" a little bit as it passed off of the ramp, in that the tire could continue close to its initial trajectory for a little while before gravity (and the suspension) could force it downward. In a (representative) dynamic analysis, the tire would behave the same way - the forces accelerating the tire downward would have to overcome the upward momentum of the tire before the tire's velocity would become downward. In a kinematic analysis, the momentum of the tire is not tracked, so as soon as the tire comes off of the edge of the ramp, it will start to have downward velocity (and downward accn, of course).
The big difference between the two is whether or not momentum of the objects is tracked vs time. Kinematic analysis is akin to "zero-speed" analysis, where none of the parts have momentum. Dynamic analysis is a closer representation of reality, as it keeps track of the momentum of the moving parts.