1.8. Guidelines for solving problems in kinematics

Analyzing the formulas obtained, in kinematics we can distinguish four main types of problems:

1. General direct problem of kinematics:

By the known dependence of the radius-vector on time need to determine velocity vectors and accelerate and their modules v and a, normal and tangential component of the acceleration, the radius of curvature of the trajectory R.

2. The general inverse problem of kinematics:

Based on known velocity vectors or acceleration it is necessary to restore the view of the trajectory, i.e. find radius vector , and then all other parameters of the trajectory specified in paragraph 1.

3. Private direct kinematic problem:

By the known dependence of the path on time need to find speed and acceleration body. In this case, you can only determine the modulus of speed and acceleration:

and .

Vectors , , , and and in these tasks can not be determined.

4. Private inverse problem of kinematics:

Based on known speed dependencies or acceleration it is necessary to restore the dependence of the path on time :