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Which of the following is a vector quantity?


A) time
B) mass
C) volume
D) displacement
E) speed

F) None of the above
G) All of the above

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Vector Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° east of north. The resultant vector + is given by A) 0.7 m at an angle 42° north of east. B) 13.7 m at an angle 42° north of east. C) 1.1 m at an angle 42° north of east. D) 9.7 m at an angle 42° north of east. E) 2.0 m at an angle 42° north of east. = 6.0 m and points 30° north of east. Vector Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° east of north. The resultant vector + is given by A) 0.7 m at an angle 42° north of east. B) 13.7 m at an angle 42° north of east. C) 1.1 m at an angle 42° north of east. D) 9.7 m at an angle 42° north of east. E) 2.0 m at an angle 42° north of east. = 4.0 m and points 30° east of north. The resultant vector Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° east of north. The resultant vector + is given by A) 0.7 m at an angle 42° north of east. B) 13.7 m at an angle 42° north of east. C) 1.1 m at an angle 42° north of east. D) 9.7 m at an angle 42° north of east. E) 2.0 m at an angle 42° north of east. + Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° east of north. The resultant vector + is given by A) 0.7 m at an angle 42° north of east. B) 13.7 m at an angle 42° north of east. C) 1.1 m at an angle 42° north of east. D) 9.7 m at an angle 42° north of east. E) 2.0 m at an angle 42° north of east. is given by


A) 0.7 m at an angle 42° north of east.
B) 13.7 m at an angle 42° north of east.
C) 1.1 m at an angle 42° north of east.
D) 9.7 m at an angle 42° north of east.
E) 2.0 m at an angle 42° north of east.

F) B) and D)
G) B) and E)

Correct Answer

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A car travels along east and its velocity decreases. The acceleration of the car is in which of the following directions?


A) Eastward
B) Westward
C) Northward
D) Southward
E) Cannot be determined without additional information.

F) B) and C)
G) C) and D)

Correct Answer

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A plane has an airspeed of 142 m/s. A 30.0 m/s wind is blowing southward at the same time as the plane is flying. What must be the direction of the plane in order to move due east relative to the ground?


A) 78.1° north of east
B) 11.9° north of east
C) 77.8° north of east
D) 12.2° north of east
E) 55.3° north of east

F) None of the above
G) C) and D)

Correct Answer

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If If + =0, then the vectors and have equal magnitudes and are directed in the same direction. + If + =0, then the vectors and have equal magnitudes and are directed in the same direction. =0, then the vectors If + =0, then the vectors and have equal magnitudes and are directed in the same direction. and If + =0, then the vectors and have equal magnitudes and are directed in the same direction. have equal magnitudes and are directed in the same direction.

A) True
B) False

Correct Answer

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If If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other. - If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other. = If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other. and A-B=C, then the vectors If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other. and If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other. are oriented perpendicular relative to one other.

A) True
B) False

Correct Answer

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What is the smallest number of vectors that can be added to give a zero resultant?


A) 2
B) 3
C) 4
D) 5
E) You cannot add vectors and obtain a zero resultant.

F) A) and B)
G) B) and D)

Correct Answer

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If three vectors add up to a zero resultant it is correct to say that


A) it is impossible to find three vectors that add up to a zero resultant.
B) the three vectors must be co-linear.
C) the three vectors must be in a plane.
D) the three vectors must have the same magnitude.
E) the three vectors cannot have the same magnitude.

F) B) and D)
G) All of the above

Correct Answer

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Vector Vector is obtained by rotating vector counterclockwise by 270°. The components of will A) have the same signs as those of . B) have opposite signs as those of . C) The x-components will have opposite signs but the y-components will not. D) The y-components will have opposite signs but the x-components will not. E) depend on the quadrant where is. is obtained by rotating vector Vector is obtained by rotating vector counterclockwise by 270°. The components of will A) have the same signs as those of . B) have opposite signs as those of . C) The x-components will have opposite signs but the y-components will not. D) The y-components will have opposite signs but the x-components will not. E) depend on the quadrant where is. counterclockwise by 270°. The components of Vector is obtained by rotating vector counterclockwise by 270°. The components of will A) have the same signs as those of . B) have opposite signs as those of . C) The x-components will have opposite signs but the y-components will not. D) The y-components will have opposite signs but the x-components will not. E) depend on the quadrant where is. will


A) have the same signs as those of Vector is obtained by rotating vector counterclockwise by 270°. The components of will A) have the same signs as those of . B) have opposite signs as those of . C) The x-components will have opposite signs but the y-components will not. D) The y-components will have opposite signs but the x-components will not. E) depend on the quadrant where is. .
B) have opposite signs as those of Vector is obtained by rotating vector counterclockwise by 270°. The components of will A) have the same signs as those of . B) have opposite signs as those of . C) The x-components will have opposite signs but the y-components will not. D) The y-components will have opposite signs but the x-components will not. E) depend on the quadrant where is. .
C) The x-components will have opposite signs but the y-components will not.
D) The y-components will have opposite signs but the x-components will not.
E) depend on the quadrant where Vector is obtained by rotating vector counterclockwise by 270°. The components of will A) have the same signs as those of . B) have opposite signs as those of . C) The x-components will have opposite signs but the y-components will not. D) The y-components will have opposite signs but the x-components will not. E) depend on the quadrant where is. is.

F) A) and B)
G) B) and C)

Correct Answer

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The resultant vector The resultant vector of two vectors and will have the minimum value when the angle between these vectors is one of the following? A) 0°. B) 90°. C) 270° D) 180° E) 360° of two vectors The resultant vector of two vectors and will have the minimum value when the angle between these vectors is one of the following? A) 0°. B) 90°. C) 270° D) 180° E) 360° and The resultant vector of two vectors and will have the minimum value when the angle between these vectors is one of the following? A) 0°. B) 90°. C) 270° D) 180° E) 360° will have the minimum value when the angle between these vectors is one of the following?


A) 0°.
B) 90°.
C) 270°
D) 180°
E) 360°

F) B) and D)
G) All of the above

Correct Answer

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Vector Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 2.7 m at an angle 8.3° south of east. B) 2.7 m at an angle 8.3° east of south. C) 3.2 m at an angle 8.3° east of south. D) 3.2 m at an angle 8.3° south of east. E) 2.3 m at an angle 8.3° south of east. = 6.0 m and points 30° north of east. Vector Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 2.7 m at an angle 8.3° south of east. B) 2.7 m at an angle 8.3° east of south. C) 3.2 m at an angle 8.3° east of south. D) 3.2 m at an angle 8.3° south of east. E) 2.3 m at an angle 8.3° south of east. = 4.0 m and points 30° west of south. The resultant vector Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 2.7 m at an angle 8.3° south of east. B) 2.7 m at an angle 8.3° east of south. C) 3.2 m at an angle 8.3° east of south. D) 3.2 m at an angle 8.3° south of east. E) 2.3 m at an angle 8.3° south of east. + Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 2.7 m at an angle 8.3° south of east. B) 2.7 m at an angle 8.3° east of south. C) 3.2 m at an angle 8.3° east of south. D) 3.2 m at an angle 8.3° south of east. E) 2.3 m at an angle 8.3° south of east. is given by


A) 2.7 m at an angle 8.3° south of east.
B) 2.7 m at an angle 8.3° east of south.
C) 3.2 m at an angle 8.3° east of south.
D) 3.2 m at an angle 8.3° south of east.
E) 2.3 m at an angle 8.3° south of east.

F) A) and B)
G) A) and E)

Correct Answer

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If a vector If a vector has components A<sub>x</sub> > 0, and A<sub>y</sub> > 0, then the angle that this vector makes with the positive x-axis must be in the range A) 0° to 90°. B) 90° to 180°. C) 180° to 270°. D) 270° to 360°. E) cannot be determined without additional information has components Ax > 0, and Ay > 0, then the angle that this vector makes with the positive x-axis must be in the range


A) 0° to 90°.
B) 90° to 180°.
C) 180° to 270°.
D) 270° to 360°.
E) cannot be determined without additional information

F) B) and D)
G) B) and C)

Correct Answer

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If the acceleration of an object is always directed perpendicular to its velocity, then


A) the object is speeding up.
B) the object is slowing down.
C) the object is moving with a constant velocity.
D) the object is turning.
E) this situation would not be physically possible.

F) C) and D)
G) B) and C)

Correct Answer

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Vector Vector has a magnitude of 16.0 m and is pointing eastward. It is rotated 110.0° clockwise. The component of this vector along west is A) 15.0 m. B) 5.47 m. C) 18.7 m. D) 12.4 m. E) 44.0 m. has a magnitude of 16.0 m and is pointing eastward. It is rotated 110.0° clockwise. The component of this vector along west is


A) 15.0 m.
B) 5.47 m.
C) 18.7 m.
D) 12.4 m.
E) 44.0 m.

F) B) and E)
G) B) and C)

Correct Answer

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A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?


A) 18.1 m/s
B) 15.6 m/s
C) 8.45 m/s
D) 12.6 m/s
E) 9.33 m/s

F) A) and C)
G) A) and B)

Correct Answer

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Vector Vector is 5.5 cm long and points along the x-axis. Vector is 7.5 cm long and points at +30° above the negative x-axis. (a) Determine the x- and y-components of Vector . (b) Determine the x- and y-components of Vector (c) Determine the sum of these two vectors in terms of components. (d) Determine the sum of these two vectors in terms of magnitude and direction. is 5.5 cm long and points along the x-axis. Vector Vector is 5.5 cm long and points along the x-axis. Vector is 7.5 cm long and points at +30° above the negative x-axis. (a) Determine the x- and y-components of Vector . (b) Determine the x- and y-components of Vector (c) Determine the sum of these two vectors in terms of components. (d) Determine the sum of these two vectors in terms of magnitude and direction. is 7.5 cm long and points at +30° above the negative x-axis. (a) Determine the x- and y-components of Vector Vector is 5.5 cm long and points along the x-axis. Vector is 7.5 cm long and points at +30° above the negative x-axis. (a) Determine the x- and y-components of Vector . (b) Determine the x- and y-components of Vector (c) Determine the sum of these two vectors in terms of components. (d) Determine the sum of these two vectors in terms of magnitude and direction. . (b) Determine the x- and y-components of Vector Vector is 5.5 cm long and points along the x-axis. Vector is 7.5 cm long and points at +30° above the negative x-axis. (a) Determine the x- and y-components of Vector . (b) Determine the x- and y-components of Vector (c) Determine the sum of these two vectors in terms of components. (d) Determine the sum of these two vectors in terms of magnitude and direction. (c) Determine the sum of these two vectors in terms of components. (d) Determine the sum of these two vectors in terms of magnitude and direction.

Correct Answer

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(a)Ax = 5.5 cm,Ay = 0
(b)Bx = -6....

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Vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° north of west. The resultant vector + is given by A) 10.0 m at an angle 30° south of east. B) 10.0 m at an angle 60° east of south. C) 2.0 m at an angle 60° south of east. D) 2.0 m at an angle 30° south of east. E) 1.0 m at an angle 30° east of south. = 6.0 m and points 30° south of east. Vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° north of west. The resultant vector + is given by A) 10.0 m at an angle 30° south of east. B) 10.0 m at an angle 60° east of south. C) 2.0 m at an angle 60° south of east. D) 2.0 m at an angle 30° south of east. E) 1.0 m at an angle 30° east of south. = 4.0 m and points 30° north of west. The resultant vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° north of west. The resultant vector + is given by A) 10.0 m at an angle 30° south of east. B) 10.0 m at an angle 60° east of south. C) 2.0 m at an angle 60° south of east. D) 2.0 m at an angle 30° south of east. E) 1.0 m at an angle 30° east of south. + Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° north of west. The resultant vector + is given by A) 10.0 m at an angle 30° south of east. B) 10.0 m at an angle 60° east of south. C) 2.0 m at an angle 60° south of east. D) 2.0 m at an angle 30° south of east. E) 1.0 m at an angle 30° east of south. is given by


A) 10.0 m at an angle 30° south of east.
B) 10.0 m at an angle 60° east of south.
C) 2.0 m at an angle 60° south of east.
D) 2.0 m at an angle 30° south of east.
E) 1.0 m at an angle 30° east of south.

F) B) and D)
G) A) and E)

Correct Answer

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Vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° east of south. The resultant vector + is given by A) 9.7 m at an angle 42° south of east. B) 1.1 m at an angle 42° south of east. C) 13.7 m at an angle 42° south of east. D) 0.7 m at an angle 42° south of east. E) 4.7 m at an angle 42° south of east. = 6.0 m and points 30° south of east. Vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° east of south. The resultant vector + is given by A) 9.7 m at an angle 42° south of east. B) 1.1 m at an angle 42° south of east. C) 13.7 m at an angle 42° south of east. D) 0.7 m at an angle 42° south of east. E) 4.7 m at an angle 42° south of east. = 4.0 m and points 30° east of south. The resultant vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° east of south. The resultant vector + is given by A) 9.7 m at an angle 42° south of east. B) 1.1 m at an angle 42° south of east. C) 13.7 m at an angle 42° south of east. D) 0.7 m at an angle 42° south of east. E) 4.7 m at an angle 42° south of east. + Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° east of south. The resultant vector + is given by A) 9.7 m at an angle 42° south of east. B) 1.1 m at an angle 42° south of east. C) 13.7 m at an angle 42° south of east. D) 0.7 m at an angle 42° south of east. E) 4.7 m at an angle 42° south of east. is given by


A) 9.7 m at an angle 42° south of east.
B) 1.1 m at an angle 42° south of east.
C) 13.7 m at an angle 42° south of east.
D) 0.7 m at an angle 42° south of east.
E) 4.7 m at an angle 42° south of east.

F) D) and E)
G) B) and D)

Correct Answer

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Vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 7.2 m at an angle 64° south of east. B) 3.3 m at an angle 64° south of east. C) 9.8 m at an angle 26° south of east. D) 9.8 m at an angle 64° south of east. E) 3.3 m at an angle 26° south of east. = 6.0 m and points 30° south of east. Vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 7.2 m at an angle 64° south of east. B) 3.3 m at an angle 64° south of east. C) 9.8 m at an angle 26° south of east. D) 9.8 m at an angle 64° south of east. E) 3.3 m at an angle 26° south of east. = 4.0 m and points 30° west of south. The resultant vector Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 7.2 m at an angle 64° south of east. B) 3.3 m at an angle 64° south of east. C) 9.8 m at an angle 26° south of east. D) 9.8 m at an angle 64° south of east. E) 3.3 m at an angle 26° south of east. + Vector = 6.0 m and points 30° south of east. Vector = 4.0 m and points 30° west of south. The resultant vector + is given by A) 7.2 m at an angle 64° south of east. B) 3.3 m at an angle 64° south of east. C) 9.8 m at an angle 26° south of east. D) 9.8 m at an angle 64° south of east. E) 3.3 m at an angle 26° south of east. is given by


A) 7.2 m at an angle 64° south of east.
B) 3.3 m at an angle 64° south of east.
C) 9.8 m at an angle 26° south of east.
D) 9.8 m at an angle 64° south of east.
E) 3.3 m at an angle 26° south of east.

F) All of the above
G) B) and E)

Correct Answer

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If If - =0, then the vectors and have equal magnitudes and are directed in the same direction. - If - =0, then the vectors and have equal magnitudes and are directed in the same direction. =0, then the vectors If - =0, then the vectors and have equal magnitudes and are directed in the same direction. and If - =0, then the vectors and have equal magnitudes and are directed in the same direction. have equal magnitudes and are directed in the same direction.

A) True
B) False

Correct Answer

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