Abstract: The usual form kinematics equations of a free particle are obtained via directly solving the geodesics equations in the Schwarzschild space time.Comparing with the method in some text books,where the kinematics equations are given by the spherical symmetry of space-time and normalized four-velocity,the results are completely same.However,the geodesics method is more physical,and it is useful and meaningful to understand geodesics equations in a curved space-time.

Key words: Schwarzschild space-time, geodesics equations, kinematics equations in a curved space-time, mercury precession, deflection of light