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Chap. 3: Kinematics in Two or Three Dimensions: Vectors

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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.

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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


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