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Justine and her friends exit the physics classroom and walk 0.70 km to their math class. While walking, Justine's average step length is 58 cm. Approximately, how many steps does she take in walking between these two classes?


A) 310
B) 720
C) 1200
D) 3100
E) 7200

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The mass of a raindrop is 4 milligrams. Which one of the following statements indicates the correct mass of the raindrop in grams?


A) The raindrop has a mass of 4 × 106 grams.
B) The raindrop has a mass of 4 × 10-3 grams.
C) The raindrop has a mass of 4 × 10-1 grams.
D) The raindrop has a mass of 4 × 103 grams.
E) The raindrop has a mass of 4 × 10-6 grams.

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Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.  Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.   A)    B) f = 2 \pi gl C)    D)    E)


A)  Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.   A)    B) f = 2 \pi gl C)    D)    E)
B) f = 2 π\pi gl
C)  Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.   A)    B) f = 2 \pi gl C)    D)    E)
D)  Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.   A)    B) f = 2 \pi gl C)    D)    E)
E)  Using the dimensions given for the variables in the table, determine which one of the following expressions is correct.   A)    B) f = 2 \pi gl C)    D)    E)

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Three vectors Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . , Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . , and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . add together to yield zero: Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . + Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . + Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . = 0. The vectors Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct?


A) Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . have equal magnitudes and point in opposite directions.
B) Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . have equal magnitudes and point in the same direction.
C) Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . have equal magnitudes and point in opposite directions.
D) Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . point in the same direction, but Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . has twice the magnitude of Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . .
E) Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . and Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . point in the same direction, but Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . has twice the magnitude of Three vectors   ,   , and   add together to yield zero:   +   +   = 0. The vectors   and   point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A)    and   have equal magnitudes and point in opposite directions. B)    and   have equal magnitudes and point in the same direction. C)    and   have equal magnitudes and point in opposite directions. D)    and   point in the same direction, but   has twice the magnitude of   . E)    and   point in the same direction, but   has twice the magnitude of   . .

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Complete the following statement: Today, the standard meter is defined in terms of


A) the distance from the earth's equator to the north pole.
B) the wavelength of light emitted from a krypton atom.
C) the wavelength of light emitted from a sodium atom.
D) a platinum-iridium bar kept in France.
E) the speed of light.

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Which one of the following quantities is a vector quantity?


A) the age of the earth
B) the mass of a freight train
C) the earth's pull on your body
D) the temperature of an iced coffee
E) the number of people attending a soccer game

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During the execution of a play, a football player carries the ball for a distance of 33 m in the direction 58° north of east. To determine the number of meters gained on the play, find the northward component of the ball's displacement.


A) 8.0 m
B) 16 m
C) 24 m
D) 28 m
E) 32 m

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A race car will make one lap around a circular track of radius R. When the car has traveled halfway around the track, what is the magnitude of the car's displacement from the starting point?


A) 2R
B) R
C) π\pi R
D) 2 π\pi R
E) zero meters

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A 3.0-m ladder leans against a wall and makes an angle with the wall of 28° as shown in the drawing. What is the height h above the ground where the ladder makes contact with the wall? A 3.0-m ladder leans against a wall and makes an angle with the wall of 28° as shown in the drawing. What is the height h above the ground where the ladder makes contact with the wall?   A) 2.6 m B) 2.3 m C) 2.1 m D) 1.9 m E) 1.6 m


A) 2.6 m
B) 2.3 m
C) 2.1 m
D) 1.9 m
E) 1.6 m

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The length of each side of a square is 4.0 m. What is the length of the diagonal of the square (shown as a dashed line in the figure) ? The length of each side of a square is 4.0 m. What is the length of the diagonal of the square (shown as a dashed line in the figure) ?   A) 2.8 m B) 8.0 m C) 5.7 m D) 6.8 m E) 16 m


A) 2.8 m
B) 8.0 m
C) 5.7 m
D) 6.8 m
E) 16 m

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Which one of the following is the longest length?


A) 100 meters
B) 102 centimeters
C) 104 millimeters
D) 105 micrometers
E) 107 nanometers

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Which one of the following pairs of units may not be added together, even after the appropriate unit conversions have been made?


A) grams and milligrams
B) kilometers and kilograms
C) miles and kilometers
D) slugs and kilograms
E) centimeters and yards

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Complete the following statement: Today, the standard unit of time is defined in terms of


A) the electromagnetic waves emitted by cesium atoms.
B) the motion of the moon around the earth.
C) the motion of a precision pendulum.
D) the average solar day.
E) the speed of light.

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Two vectors Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. and Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. are added together to form a vector Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. . The relationship between the magnitudes of the vectors is given by: A2 + B2 = C2. Which statement concerning these vectors is true?


A) Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. and Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. must be at right angles to each other.
B) Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. and Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. could have any orientation relative to each other.
C) Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. and Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. must have equal lengths.
D) Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. and Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. must be parallel.
E) Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. and Two vectors   and   are added together to form a vector   . The relationship between the magnitudes of the vectors is given by: A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement concerning these vectors is true? A)    and   must be at right angles to each other. B)    and   could have any orientation relative to each other. C)    and   must have equal lengths. D)    and   must be parallel. E)    and   could be antiparallel. could be antiparallel.

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Which one of the following is an SI base unit?


A) gram
B) slug
C) newton
D) centimeter
E) kilogram

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Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?


A) 90°, 45°, and 45°
B) 90°, 62°, and 28°
C) 90°, 59°, and 31°
D) 90°, 48°, and 42°
E) 90°, 53°, and 37°

Correct Answer

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The distance d that a certain particle moves may be calculated from the expression d = at + bt2 where a and b are constants; and t is the elapsed time. What must the dimensions of the quantities a and b be, respectively?


A) The distance d that a certain particle moves may be calculated from the expression d = at + bt<sup>2</sup> where a and b are constants; and t is the elapsed time. What must the dimensions of the quantities a and b be, respectively? A)    B) [L], [L]<sup>2</sup> C)    D)    E)
B) [L], [L]2
C) The distance d that a certain particle moves may be calculated from the expression d = at + bt<sup>2</sup> where a and b are constants; and t is the elapsed time. What must the dimensions of the quantities a and b be, respectively? A)    B) [L], [L]<sup>2</sup> C)    D)    E)
D) The distance d that a certain particle moves may be calculated from the expression d = at + bt<sup>2</sup> where a and b are constants; and t is the elapsed time. What must the dimensions of the quantities a and b be, respectively? A)    B) [L], [L]<sup>2</sup> C)    D)    E)
E) The distance d that a certain particle moves may be calculated from the expression d = at + bt<sup>2</sup> where a and b are constants; and t is the elapsed time. What must the dimensions of the quantities a and b be, respectively? A)    B) [L], [L]<sup>2</sup> C)    D)    E)

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Three vectors Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  , Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  , and Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  have the following x and y components: Ax = 1 m, Ay = 0 m, Bx = 1 m, By = 1 m, Cx = 0 m, Cy = -1 m According to the graph, how are Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  , Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  , and Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  combined to result in the vector Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  ? Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +


A) Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  = Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  - Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  - Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +
B) Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  = Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  - Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  + Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +
C) Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  = Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  + Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  - Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +
D) Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  = Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  + Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  + Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +
E) Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  = - Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  + Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +  + Three vectors   ,   , and   have the following x and y components: A<sub>x</sub> = 1 m, A<sub>y</sub> = 0 m, B<sub>x</sub> = 1 m, B<sub>y</sub> = 1 m, C<sub>x</sub> = 0 m, C<sub>y</sub> = -1 m According to the graph, how are   ,   , and   combined to result in the vector   ?   A)    =   -   -   B)    =   -   +   C)    =   +   -   D)    =   +   +   E)    = -   +   +

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A surveyor wants to find the distance across a river. A stake is placed on each bank of the river as shown in the figure. She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle. She then measures the angle θ\theta and finds it equal to 75.9°. What is the distance across the river?  A surveyor wants to find the distance across a river. A stake is placed on each bank of the river as shown in the figure. She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle. She then measures the angle  \theta  and finds it equal to 75.9°. What is the distance across the river?   A) 89.2 m B) 15.3 m C) 119 m D) 268 m E) 29.0 m


A) 89.2 m
B) 15.3 m
C) 119 m
D) 268 m
E) 29.0 m

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Which one of the following choices is equivalent to 44.5 mm?


A) 4.45 × 101 m
B) 4.45 × 10-2 m
C) 44.5 × 10-1 m
D) 44.5 × 10-2 m
E) 4.45 × 100 m

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