1. Chap. 3: Kinematics in Two or Three Dimensions: Vectors
Study guide is posted online (Homework page)

2. Problem 11
11.(II) (a) Given the vectors and in problem 10. determine (b)Determine without using your answer in (a). Then compare your results and see if they are opposite.

4. Problem 16
16. (III) You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of -55units (a) What are the two possibilities for its x component? (b) Assuming the x component is known to be positive, specify the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the -x direction.

5. Adding Vectors by Components
Example 3-2: Mail carrier’s displacement.
A rural mail carrier leaves the post office and drives 22.0 km in a northerly direction. She then drives in a direction 60.0° south of east for 47.0 km. What is her displacement from the post office?

6. Vector Kinematics
In two or three dimensions, the displacement is a vector:

7. Vector Kinematics
As Δt and Δr become smaller and smaller, the average velocity approaches the instantaneous velocity.

8. Vector Kinematics
The instantaneous acceleration is in the direction ofΔ = 2 – 1,
and is given by:

9. Vector Kinematics
Using unit vectors to write velocity and acceleration,

10. Problem 17
(I) The position of a particular particle as a function of time is given by
Determine the particle’s velocity and acceleration as a function of time.

11. Example 3-5: Position given as a function of time