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Published byHamdani Hengki Budiman Modified over 6 years ago
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Chap. 3: Kinematics in Two or Three Dimensions: Vectors
Study guide is posted online (Homework page)
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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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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.
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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?
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Vector Kinematics In two or three dimensions, the displacement is a vector:
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Vector Kinematics As Δt and Δr become smaller and smaller, the average velocity approaches the instantaneous velocity.
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Vector Kinematics The instantaneous acceleration is in the direction ofΔ = 2 – 1, and is given by:
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Vector Kinematics Using unit vectors to write velocity and acceleration,
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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.
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Example 3-5: Position given as a function of time
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