<meta http-equiv="refresh" content="1; url=/nojavascript/"> One-Dimensional Motion | CK-12 Foundation
Dismiss
Skip Navigation

Chapter 2: One-Dimensional Motion

Created by: CK-12

Credit: Wouter Kiel
Source: http://www.flickr.com/photos/wouterkiel/3443427312/
License: CC BY-NC 3.0

[Figure1]

One-dimensional motion means moving forwards and/or backwards along a straight line, and is the simplest form of motion to study. The core of learning this is understanding rates, which is how any quantity changes over time. Key rates we will study are speed, velocity, and acceleration.

Chapter Outline

Chapter Summary

  • Displacement is the difference between the ending position and starting position of motion. It is a vector quantity.
  • Velocity is the rate of change of position. It is vector quantity.
  • Average speed can be computed finding the total distance divided by the total time or by a weighted average.
  • The slope of a line in the position-time plane represents velocity.
  • The area in the acceleration-time plane represents a change in velocity.
  • Area in the velocity-time plane represents a change in position (displacement).
  • The slope of a line in the velocity-time plane represents acceleration.
  • The gravitational acceleration near the surface of the earth is very close to 9.8 \ m/s^2.
  • The kinematic equations of motion in one dimension are:
  1. v_{avg} = \frac{\Delta x}{\Delta t}, always true
  2. a_{avg} = \frac{\Delta v}{\Delta t}, always true
  3. v_f = at+v_i, constant acceleration only
  4. v_{avg}=\frac{(v_f+v_i)}{2}, constant acceleration only
  5. x = \frac{1}{2}at^2+v_it+x_i, constant acceleration only
  6. v{_f}^2 = v{_i}^2+2a \Delta x, constant acceleration only

Image Attributions

  1. [1]^ Credit: Wouter Kiel; Source: http://www.flickr.com/photos/wouterkiel/3443427312/; License: CC BY-NC 3.0

Description

Difficulty Level:

At Grade

Authors:

Editors:

Categories:

Date Created:

Jun 27, 2013

Last Modified:

Aug 19, 2014
You can only attach files to None which belong to you
If you would like to associate files with this None, please make a copy first.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 

Original text