kinematics
The branch of mechanics concerned with objects in motion, but not with the forces involved.
Examples of kinematics in the following topics:

Defining Kinematics
 Define kinematics Kinematics is the study of the motion of points, objects, and groups of objects without considering the causes of its motion.
 The study of kinematics can be abstracted into purely mathematical expressions.
 The study of kinematics is often referred to as the "geometry of motion."
 A formal study of physics begins with kinematics.
 Kinematic analysis is the process of measuring the kinematic quantities used to describe motion.
 kinematics (noun) The branch of mechanics concerned with objects in motion, but not with the forces involved.

Constant Angular Acceleration
 Relate angle of rotation, angular velocity, and angular acceleration to their equivalents in linear kinematics Constant angular acceleration describes the relationships among angular velocity, angle of rotation, and time.
 The kinematic equations for rotational and/or linear motion given here can be used to solve any rotational or translational kinematics problem in which a and α are constant.
 By using the relationships between velocity and angular velocity, distance and angle of rotation, and acceleration and angular acceleration, rotational kinematic equations can be derived from their linear motion counterparts.
 Kinematics is the description of motion.
 We have already studied kinematic equations governing linear motion under constant acceleration:
$v = v_0 + at \\ x = v_0 t + \frac{1}{2} a t^2 \\ v^2 = v_0^2 + 2ax$ Similarly, the kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time.  kinematics (noun) The branch of mechanics concerned with objects in motion, but not with the forces involved.

Applications
 Determine which kinematics equation to use in problems in which the initial starting position is equal to zero There are four kinematic equations that describe the motion of objects without consideration of its causes.
 The four kinematic equations involve five kinematic variables: d, v, v_{o}, a, and t.
 Kinematics is the branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without consideration of the causes of motion.
 There are four kinematic equations when the initial starting position is the origin, and the acceleration is constant:
$v = v_0 + at$ $d = \frac{1}{2}(v_0 + v)t \hspace{10 mm} or \hspace{3 mm} alternatively \hspace{10 mm} v_{average} = \frac{d}{t}$ $d = v_0t + (\frac{at^2}{2})$ $v^2 = v_0^2 + 2ad$ Notice that the four kinematic equations involve five kinematic variables: d, v, v_{o}, a, and t.  kinematics (noun) The branch of physics concerned with objects in motion.

Motion with Constant Acceleration
 Due to the algebraic properties of constant acceleration, there are kinematic equations that can be used to calculate displacement, velocity, acceleration, and time.
 Acceleration can be derived easily from basic kinematic principles.
 Due to the algebraic properties of constant acceleration, there are kinematic equations that relate displacement, initial velocity, final velocity, acceleration, and time.
 A summary of kinematic equations that can be used in scenarios with a constant acceleration This video answers the question "what is acceleration?
 kinematic (adjective) of or relating to motion or kinematics

ProblemSolving Techniques
 Develop and apply a strong problemsolving strategy for rotational kinematics Identify the problem and solve the appropriate equation or equations for the quantity to be determined.
 Examine the situation to determine that rotational kinematics (rotational motion) is involved, and identify exactly what needs to be determined.
 When solving problems on rotational kinematics: Examine the situation to determine that rotational kinematics (rotational motion) is involved.
 Rotational and translational kinematic equations.
 kinematics (noun) The branch of mechanics concerned with objects in motion, but not with the forces involved.

Constant Acceleration
 Analyze a twodimensional projectile motion along horizontal and vertical axes Determine the appropriate kinematics equation for twodimensional projectile motion Analyzing twodimensional projectile motion is done by breaking it into two motions: along the horizontal and vertical axes.
 Thus, the kinematic equations describing the motion along the x and y directions respectively, can be used:
$x = x_0 + v_x t$ $v_y=v_{0y}+a_y t$ $y=y_0+v_{0y} t+\frac{1}{2}a_y t^2$ $v_y^2=v_{0y}^2+2a_y(yy_0)$ We analyze twodimensional projectile motion by breaking it into two independent onedimensional motions along the vertical and horizontal axes.  kinematic (adjective) of or relating to motion or kinematics

The Kinematics of Photon Scattering

Kinematics of UCM

Relationship Between Linear and Rotational Quantitues
 Similarly, we also get
$a = \alpha r$ where$a$ stands for linear acceleration, while$\alpha$ refers to angular acceleration (In a more general case, the relationship between angular and linear quantities are given as$\bf{v = \omega \times r}, ~~ \bf{a = \alpha \times r + \omega \times v}$ . ) With the relationship of the linear and angular speed/acceleration, we can derive the following four rotational kinematic equations for constant$a$ and$\alpha$ :$\omega =\omega 0+\alpha t : v=v0+at$ $\theta =\omega 0t+(1/2)\alpha t2 : x=v0t+(1/2)at2$ $\omega 2=\omega 02+2 : v2=v02+2ax$ As we use mass, linear momentum, translational kinetic energy, and Newton's 2nd law to describe linear motion, we can describe a general rotational motion using corresponding scalar/vector/tensor quantities: Mass/Rotational inertia: Linenar/angular momentum: Force/Torque: Kinetic energy: For example, just as we use the equation of motion$F = ma$ to describe a linear motion, we can use its counterpart$\bf{\tau} = \frac{d\bf{L}}{dt} = \bf{r} \times \bf{F}$ to describe an angular motion.
 Similarly, we also get

Relativistic Addition of Velocities
 Composition law for velocities gave the first test of the kinematics of the special theory of relativity when, using a Michelson interferometer, Hyppolite Fizeau measured the speed of light in a fluid moving parallel to the light.
 Composition law for velocities gave the first test of the kinematics of the special theory of relativity.