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TB_chapter3 - Chapter 3 Vectors and Two-Dimensional Motion...

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Chapter 3, Vectors and Two-Dimensional Motion C HAPTER 3 Conceptual Problems 1. Vectors A , B , and C have magnitudes 6, 11, and 20. When these vectors are added, what is the least possible magnitude of their resultant? a. 25 b. 15 c. 2 d. 3 2. Four vectors all have the same magnitude. Vector 1 is at 30 ° , Vector 2 is at 135 ° , vector 3 is at 240 ° , and Vector 4 is at 315 ° . Which vector has the greatest magnitude x-component and which vector has the greatest magnitude y-component? a. Vector 1, Vector 2 b. Vector 3, Vector 4 c. Vector 1, Vector 3 d. Vector 3, Vector 2 3. Vector 1 is 7 units long and is at 70 ° . Vector 2 is 5 units long and is at 225 ° . Vector 3 is 3 units long and is at 150 ° . Which vector has equal magnitude components? a. Vector 1 b. Vector 2 c. Vector 3 d. None of the vectors has equal magnitude components. 4. A particle moves east at constant velocity v for a time interval T. It then moves north at a Δ constant velocity, with the same speed as before, for another time interval T. Finally it Δ moves east again with the original velocity. At the instant an additional time interval T has Δ elapsed, which of the following are true about the average velocity and the average acceleration for the motion described? 5. A projectile is fired at an angle of elevation of 60 ° . Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector? 26
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Chapter 3, Vectors and Two-Dimensional Motion 3.1 Vectors and Their Properties 1. Which type of quantity is characterized by both magnitude and direction? 2. Which of the following is an example of a vector quantity? a. velocity b. temperature c. volume d. mass 3. When we subtract a velocity vector from another velocity vector, the result is: 4. When we add a displacement vector to another displacement vector, the result is:
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