Chapter 2: OneDimensional Motion
Difficulty Level: At Grade
Created by: CK12
Onedimensional 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
 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 positiontime plane represents velocity.
 The area in the accelerationtime plane represents a change in velocity.
 Area in the velocitytime plane represents a change in position (displacement).
 The slope of a line in the velocitytime 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*}
9.8 m/s2 .  The kinematic equations of motion in one dimension are:

\begin{align*}v_{avg} = \frac{\Delta x}{\Delta t}\end{align*}
vavg=ΔxΔt , always true 
\begin{align*}a_{avg} = \frac{\Delta v}{\Delta t}\end{align*}
aavg=ΔvΔt , always true 
\begin{align*}v_f = at+v_i\end{align*}
vf=at+vi , constant acceleration only 
\begin{align*}v_{avg}=\frac{(v_f+v_i)}{2}\end{align*}
vavg=(vf+vi)2 , constant acceleration only 
\begin{align*}x = \frac{1}{2}at^2+v_it+x_i\end{align*}
x=12at2+vit+xi , constant acceleration only 
\begin{align*}v{_f}^2 = v{_i}^2+2a \Delta x\end{align*}
vf2=vi2+2aΔx , 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:
Jun 27, 2013
Last Modified:
Dec 15, 2015
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