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Chapter 3: Q. 4 (page 77)
A velocity vector 40掳below the positive x-axis has a y-component of -10 m/s. What is the value of its x-component?
The value of its x-component is 11.92 m/s
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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.
For the three vectors shown in FIGURE EX3.20, What is vector
a. Write in component form.
b. Write as a magnitude and a direction.
Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40掳 from vertical, and Kami pulls parallel to the handle with a force of 120 N. (Force is measured in newtons, abbreviated N.) What are the horizontal and vertical components of her applied force?
Let , and .
a. Write vector in component form.
b. Draw a coordinate system and on it show vectors, and.
c. What are the magnitude and direction of vector ?
A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at . A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at relative to the air, what direction should they head in order to move directly south?
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