I search any information that about why is important to calculate the dynamics and kinematics motion equations for car like some examples of what technologies must to find these equations or like what control applications need these equations
You're asking why? - to estimate and prove design parameters required to operate the machine safely, effectively and to design intent.
Also, see --->
http://www.engineersedge.com/calcula...ing-forces.htm
http://www.engineersedge.com/mechani...ope-forces.htm