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Chapter 3: Q. 1 (page 77)
Can the magnitude of the displacement vector be more than the distance traveled? Less than the distance traveled? Explain
Displacement cannot be larger than the distance traveled but it can be less than it.
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Let,
a. Write vector in component form.
b. Draw a coordinate system and on it show vectors
c. What are the magnitude and direction of vector
II Ruth sets out to visit her friend Ward, who lives north and east of her. She starts by driving east, but after she comes to a detour that takes her south before going east again. She then drives east for and runs out of gas, so Ward flies there in his small plane to get her. What is Ward's displacement vector? Give your answer (a) in component form, using a coordinate system in which the -axis points north, and (b) as a magnitude and direction.
What are the - and -components of the velocity vector shown in FIGURE EX3.19?
Can a vector have a component equal to zero and still have nonzero magnitude? Explain.
I A runner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. Let a coordinate system have its origin at the center of the circle with the -axis pointing east and the -axis north. The runner starts at and runs \(2.5\) times around the track in a clockwise direction. What is his displacement vector? Give your answer as a magnitude and direction.
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