# Chapter 2: One-Dimensional Motion

Difficulty Level:

**At Grade**Created by: CK-12Turn In

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 *rate*s, which is how any quantity changes over time. Key rates we will study are speed, velocity, and acceleration.

Chapter Outline

- 2.1.
## Locating an Object: Distance and Displacement

- 2.2.
## Speed and Velocity in One Dimension

- 2.3.
## Average Speed, Velocity, and Instantaneous Velocity

- 2.4.
## Uniform Acceleration

- 2.5.
## The Kinematic Equations

### 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/s2 . - The kinematic equations of motion in one dimension are:

vavg=ΔxΔt , always trueaavg=ΔvΔt , always truevf=at+vi , constant acceleration onlyvavg=(vf+vi)2 , constant acceleration onlyx=12at2+vit+xi , constant acceleration onlyvf2=vi2+2aΔx , constant acceleration only

### Image Attributions

Show
Hide
Details

Description

Covers the kinematics of linear motion, including position, speed, velocity, and acceleration along with how to solve kinematic equations.

Difficulty Level:

At Grade
Authors:

Editors:

Subjects:

Date Created:

Nov 05, 2015
Last Modified:

Aug 02, 2016
Files can only be attached to the latest version of chapter