Index for
Chapter 3
Linear Motion

1. Motion Diagrams

• motion diagram

2. Displacement Vectors

• displacement vectors
• Displacement (\(\Delta x\)) measured in meters (m)

3. Average Velocity

• time interval
• Velocity (\(v\)) measured in meters per second (m/s)
• \(\vec v_{avg}={\Delta\vec x\over\Delta t}\)

4. Choosing the Time Interval

5. Acceleration

• acceleration
• acceleration due to gravity
• Acceleration (\(\vec a\)) measured in m/s²
• \(g=9.8\u{N/kg}=9.8\u{m/s^2}\)

6. Change in Velocity

• \(\Delta A=A_f-A_i\)
• \(A_f=A_i+\Delta A\)

7. Vector Acceleration

• \(\vec a_{avg}={\Delta\vec v\over\Delta t}\)

8. Frames of Reference

• frame of reference
• inertial

9. Uniform Circular Motion

• centrifugal pseudoforce
• centripetal acceleration
• \(\displaystyle{a_c={v^2\over r}}\) for an object in uniform circular motion

10. Free Fall

• free fall

11. Weightlessness

• weightlessness

12. One-Dimensional Motion

13. Graphing Position

• turning point

14. Slopes

• The slope of a position graph gives you the velocity.

15. Graphing Velocity

• turning point
• the slope of the velocity graph is the acceleration.

16. Constant Acceleration

• \(v_f=v_i+a\Delta t\)
• \(\Delta x=\frac12(v_i+v_f)\Delta t\)
• In a one-dimensional constant-acceleration problem,
  we must be given three of the five variables
  in order to solve for the rest.

17. The Five Equations

• don't-know-don't-care
• $$\begin{align}
  v_f&=v_i+a\Delta t &\color{blue}{\hbox{no}\,\Delta x}\\
  \Delta x&=\frac{1}{2}(v_i+v_f)\Delta t &\color{blue}{\hbox{no}\,a}\\
  \Delta x&=v_i\Delta t+\frac12a\Delta t^2 &\color{blue}{\hbox{no}\,v_f}\\
  \Delta x&=v_f\Delta t-\frac12a\Delta t^2 &\color{blue}{\hbox{no}\,v_i}\\
  v_f^2&=v_i^2+2a\Delta x &\color{blue}{\hbox{no}\,\Delta t}\\
  \end{align}$$

18. Filling in the Variables

19. 2D Kinematics

20. Assessment Objectives

21. 1DKinematics