1) The document contains the text and solutions to a physics exam on vectors and rotational kinematics. It includes conceptual questions, problem solving questions, and the solutions. 2) One problem asks the student to calculate the displacement needed to return to the starting point after moving in various directions. Another calculates angular acceleration, tangential speed, and revolutions for an object spinning uniformly. 3) A third problem determines revolutions, tangential acceleration, and speed for passengers on an amusement park ride undergoing uniform acceleration.

2. What is the largest possible value for the magnitude of the resultant vector?

3. What is the smallest possible value for the magnitude of the resultant vector?

4. (1 points) If A=5.00 m, 15o south of east, what is the negative (opposite) of that vector?

5. (1 points) True or False: Component method is a solution of vector addition which is less accurate than graphical method.

7. (2 points) If the x and y components are positive and negative respectively, the vector is in the direction between ______ and _____. (Choices: east, north, west, south)

9. Angular speed of Harry is ____ Hermione’s.

10. Tangential speed of Harry is ____ Hermione’s.

12. There is a centripetal acceleration and varies depends on the location from the axis of rotation.

13. There is a tangential acceleration and is constant.

14. There is no angular acceleration.

16. (7 points) A grindstone of radius 4.0 m is spinning uniformly (constant angular speed) with an angular speed of 8.0 rad/s. After 5.0 s, (a) what is its angular acceleration in rev/min; (b) what is its tangential speed; (c) what is its centripetal acceleration from the edge to the center (axis of rotation); (d) what is its tangential acceleration; and (e) how many revolutions does it make?

18. The magnitudes of two vectors are 12 units and 8 units.

19. What is the largest possible value for the magnitude of the resultant vector? - 20 units

20. What is the smallest possible value for the magnitude of the resultant vector? – 4 units

21. If A=5.00 m, 15o south of east, what is the negative (opposite) of that vector? - -A=5.00 m, 15o north of west

22. True or False: Component method is a solution of vector addition which is less accurate than graphical method. – False

23. If the x and y components are positive and negative respectively, the vector is in the direction between ______ and _____. – east & south

25. Angular speed of Harry is half of Hermione’s.

26. Tangential speed of Harry is double Hermione’s.

28. There is a centripetal acceleration and varies depends on the location from the axis of rotation. - True

29. There is a tangential acceleration and is constant. - False

30. There is no angular acceleration. – True

31. PROBLEM SOLVING

33. R=-184 m2+-64.1 m2R=195 m

34. θ=tan-1-64.1 m184 mθ=19o∴ R=195 m, 19o south of west (199o)