# Summary of Kinematics in One Dimension Related Posts:

Douglas C. Giancoli – Physics for Scientists and Engineers with Modern Physics

deals with the description of how objects move. The description of the motion of any object must always be given relative to some particular .

The of an object is the change in position of the object.

is the distance traveled divided by the elapsed time or time interval, ∆t, the time period over which we choose to make our observations. An object’s over a particular time interval ∆t is its displacement ∆x during that time interval, divided by ∆t:

The , whose magnitude is the same as the instantaneous speed, is defined as the average velocity taken over an infinitesimally short time interval (∆t→0):

where dx/dt is the derivative of x with respect to t.

On a graph of position versus time, the slope equal is equal to the instantaneous velocity.

Acceleration is the change of velocity per unit time. An object’s average acceleration over a time interval ∆t is