MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A vector A has components Ax = 12 m and Ay = 5.0 m. What is the magnitude of vector A ? A) 17 m B) 60 m C) 13 m D) 169 m 1)
E) 7.0 m 2)
2) A vector A has components Ax = 12.0 m and Ay = 5.00 m. What is the angle that vector A makes with the x-axis? A) 67.4°
B) 32.6°
C) 12.6°
D) 22.6°
E) 6.6° 3)
3) Vector A has a magnitude 5.00 and points in a direction 60.0° clockwise from the negative y axis.
What are the x and y components of vector A . A) A x = -4.33 and A y = -2.50
B) A x = 1.78 and A y = -2.14 C) A x = 2.50 and A y = -4.33 D) A x = -4.33 and A y = 2.50 E) A x = 2.50 and A y = 4.33
4) Vector M = 4.00 m points eastward and vector N = 3.00 m points southward. The resultant vector
M + N is given by A) 5.00 m at an angle 53.1° south of east. B) 5.00 m at an angle 36.9° south of east. C) 5.00 m at an angle 71.6° south of east. D) 5.00 m at an angle 18.4° south of east. E) 5.00 m at an angle 26.6° south of east.
4)
1
FIGURE 3-3
5) Vectors A and B are shown in Fig. 3-3. What is -5.00 A + 4.00 B ? A) -32.0 i + -2.00 j B) 31.8 C) -2.00 i + -32.0 j D) 34.0 E) 1028
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5)
^ ^ 6) An object has a position given by r = [2.0 m + (5.0 m/s)t]i + [3.0 m - (1.0 m/s 2)t2 ]j. Determine the velocity of the object as a function of time. A) 5.4 m/s ^ ^ B) (5.0 m/s)i - [(1.0 m/s2 )t]j
6)
C) 5.1 m/s
D) (5.0 m/s)i - (1.0 m/s2 )j ^ ^ E) (5.0 m/s)i - [(2.0 m/s2 )t]j 7) An object has a velocity v 0 (t) = (3.00 m/s)i + (1.00 m/s)j at time t = 0.00 s. The acceleration of the object is a (t) = (2.00 m/s3 )ti + (1.00 m/s4 )t2j. If the object is located at r 0 (t) = (1.00 m)i + (-1.00 m)j at time t = 0.00 s., what is the position of the object at time t = 1.00 s?
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7)
A) (2.72 m)i + (6.14 m)j B) (5.32 m)i + (1.34 m)j
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C) (4.33 m)i