
Kinematics
Kinematics is concerned with describing the way in which objects move.

Displacement
An objects total change in position. If a man runs around an oval 400 meter track, stopping at the precise location he began, though he ran a distance of 400 meters, his total displacement was 0.

Dynamics
Dynamics focuses on understanding why objects move the way they do.

Reference frame
The coordinate system with respect to which motion is being described.

Speed
A measure of how fast an object is moving.

Average velocity
The timeaverage of the velocity function over a specified timeinterval. (See formula below.)

Instantaneous velocity
The value of the velocity function at a particular instant in time. (See formula below.)

Gravitational acceleration
The gravitational acceleration of objects near the earth's surface is the same for all objects regardless of mass and is given by the number g = 9.8m/s^{2}.

Scalarvalued function
A function that outputs scalars (regular numbers). Most common functions that you are probably familiar with are scalarvalued functions.

Vectorvalued function
A function that outputs vectors. This means that while the domain of the function may consist of scalars, the values in the range are all vectors.

Position function
A position function can be either scalarvalued (for motion in one dimension) or vectorvalued (for motion in two or three dimensions). At each point in time its value represents the position of an object at that time.

Velocity function
This function is the timederivative of the position function, and gives the velocity of an object at each point in time.

Acceleration function
This function is the timederivative of the velocity function, and the second timederivative of the position function. It gives the value of the acceleration of an object at each point in time.

Timederivative
The timederivative of a function is a new function whose value at each point represents the rate of change of the original function with respect to time.

Simple harmonic motion
Periodic motion that can be described by special types of position functions. Examples of simple harmonic motion include an object moving in a circle and a ball bouncing up and down on a spring.
Terms
Formulae
The average velocity for an object with position function x(t) over the time interval (t_{0}, t_{1}).  v_{avg} = 
The instantaneous velocity at time t for an object with position function x(t).  v(t) = 