2. 1) Which one of the following is an example of a vector quantity?  A) distance  B) velocity  C) mass  D) area

3. 2) Which of the following operations will not change a vector?  A) Translate (slide) it parallel to itself.  B) Rotate it.  C) Multiply it by a constant factor.  D) Add a constant vector to it.

4. 3) The resultant of two vectors is the smallest when the angle between them is  A) 0°.  B) 45°.  C) 90°.  D) 180°.

5. 4) Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the sum  A) is 2.0 m.  B) could be as small as -2.0 m or as large as 12 m.  C) is 12 m.  D) is larger than 12 m.

6. **Quantitative Problems** 5) A vector has a magnitude of 8.0 m at an angle of 30 degrees below the +x axis. The y-component of this vector is  A) 6.9 m.  B) -6.9 m.  C) 4.0 m.  D) -4.0 m.

7. 6) If a ball is thrown with a velocity of 25 m/s at an angle of 37° above the horizontal, what is the vertical component of the velocity?  A) 12 m/s  B) 15 m/s  C) 19 m/s  D) 25 m/s

8. 7) You walk 6.0 km in a straight line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walked?  A) 19°  B) 45°  C) 60°  D) 71°

9. 8) A butterfly moves with a speed of 12.0 m/s. The x-component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis must be  A) 30.0°.  B) 41.8°.  C) 48.2°.  D) 53.0°.

10. 9) Two snowcats tow a housing unit to a new location at McMurdo Base, Antartctica, as shown in the figure (the angle is measured from line L.) The sum of the forces F A and F B exerted on the unit by the horizontal cables is parallel to the line L, and F A = 4500 N. What is FB?  A) 4500 N  B) 6900 N  C) 8300 N  D) 9500 N

11. 10) A car travels 20 km west, then 20 km south. What is the magnitude of its displacement?  A) 0 km  B) 20 km  C) 28 km  D) 40 km

12. 11) Sam bikes 10 km south and 4 km at 30 degrees south of west to arrive at school. If it takes Sam 30 min to make this trip, find his speed and velocity.  A) 25 km/hr, 25 km/hr  B) 28 km/hr, 28 km/hr  C) 25 km/hr, 28 km/hr  D) 28 km/hr, 25 km/hr

13. 12) Two forces are acting on an object as shown in Fig. 3-1. What is the magnitude of the resultant force?  A) 47.5 N  B) 185 N  C) 198 N  D) 200 N

14. Answers 1. B 2. A 3. D 4. B 5. D 6. B 7. A 8. C 9. B 10. C 11. D 12. B