# 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 \begin{align*}9.8 \ m/s^2\end{align*}.
- The kinematic equations of motion in one dimension are:

- \begin{align*}v_{avg} = \frac{\Delta x}{\Delta t}\end{align*}, always true
- \begin{align*}a_{avg} = \frac{\Delta v}{\Delta t}\end{align*}, always true
- \begin{align*}v_f = at+v_i\end{align*}, constant acceleration only
- \begin{align*}v_{avg}=\frac{(v_f+v_i)}{2}\end{align*}, constant acceleration only
- \begin{align*}x = \frac{1}{2}at^2+v_it+x_i\end{align*}, constant acceleration only
- \begin{align*}v{_f}^2 = v{_i}^2+2a \Delta x\end{align*}, constant acceleration only

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Description

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

Difficulty Level:

At Grade
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Date Created:

Nov 05, 2015
Last Modified:

Aug 02, 2016
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