Index for
Chapter 3
Linear Motion

1. Motion Diagrams

• motion diagram

2. Displacement Vectors

• displacement vectors
• Displacement ($\mathrm{\Delta }x$) measured in meters (m)

3. Average Velocity

• time interval
• Velocity ($v$) measured in meters per second (m/s)
• ${\overrightarrow{v}}_{avg}=\frac{\mathrm{\Delta }\overrightarrow{x}}{\mathrm{\Delta }t}$

4. Choosing the Time Interval

5. Acceleration

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

6. Change in Velocity

• $\mathrm{\Delta }A=A_f-A_i$
• $A_f=A_i+\mathrm{\Delta }A$

7. Vector Acceleration

• ${\overrightarrow{a}}_{avg}=\frac{\mathrm{\Delta }\overrightarrow{v}}{\mathrm{\Delta }t}$

8. Frames of Reference

• frame of reference
• inertial

9. Uniform Circular Motion

• centrifugal pseudoforce
• centripetal acceleration
• ${\displaystyle a_c=\frac{v^2}{r}}$ 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

• $v_f=v_i+a\mathrm{\Delta }t$
• $\mathrm{\Delta }x=\frac{1}{2}(v_i+v_f)\mathrm{\Delta }t$
• 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
• $$\begin{array}{rlr}{v}_f& =v_i+a\mathrm{\Delta }t& \text{no}\mathrm{\Delta }x\\ \mathrm{\Delta }x& =\frac{1}{2}(v_i+v_f)\mathrm{\Delta }t& \text{no}a\\ \mathrm{\Delta }x& =v_i\mathrm{\Delta }t+\frac{1}{2}a\mathrm{\Delta }{t}^2& \text{no}{v}_f\\ \mathrm{\Delta }x& =v_f\mathrm{\Delta }t-\frac{1}{2}a\mathrm{\Delta }{t}^2& \text{no}{v}_i\\ v_f^2& =v_i^2+2a\mathrm{\Delta }x& \text{no}\mathrm{\Delta }t\end{array}$$

18. Filling in the Variables

19. 2D Kinematics

20. Assessment Objectives

21. 1DKinematics