Every human activity consists of physical and mental work of man, in that physical work includes energy consumption, and must be driven by mental activity, useful information and advice. To facilitate human work comes significant application machines with automated management. Science that encompasses all measures and processes that reduce the share of manual labor man, observations and wise decision-making is called automation. By using machines with automated management increases the quality of work, increasing the time and cost of production and reduces the manual labor of man. In the process automation feedback allows us to compare the size of the measured value with the desired value, and on the basis of their differences decide how to regulate and guide the process. Knowledge of the process is the basic requirement for its successful conduct. The process that is the subject of leadership describes the most common mathematical model of the system. This is a model that provides a mathematical representation of the physical and information system, and insight into his behavior and to predict its behavior in the future. The mathematical model of the system it is important to show a mathematical relationship between inputs and outputs, and cause and effect which occurs through the use of differential equations. One way of solving differential equations is the Laplace transform. This is a surgical procedure that connects the time and frequency response and using it to problems from the time domain transfers in the area of complex variable. Device used to measure the acceleration is called an accelerometer. In the example described mechanical accelerometer is used for measuring the acceleration of a rocket system. These measurements provide information about the system, its features that are used to promote the effective management of the system.