Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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In the figure above, which diagram represents the vector addition C =
A + B?
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2.
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A car travels down a road at a certain velocity, vcar. The
driver slows down so that the car is traveling only half as fast as before. Which of the following is
the correct expression for the resulting velocity?
a. | 2vcar | c. |  vcar | b. | – vcar | d. | –2vcar |
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3.
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How many displacement vectors shown in the figure above have components that lie
along the y-axis and are pointed in the –y direction?
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 The figure above shows the path of a ball tossed
from a building. Air resistance is ignored.
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4.
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At what point of the ball’s path shown in the figure above is the vertical
component of the ball’s velocity zero?
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5.
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In the figure above, the magnitude of the ball’s velocity is least at
location
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6.
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In the figure above, at which point is the ball’s speed about equal to the
speed at which it was tossed?
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7.
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Which of the following is the best coordinate system to analyze an object thrown
into the air?
a. | x-axis: up and down; y-axis: perpendicular to the
ground | b. | x-axis: up and down; y-axis: parallel to the ground | c. | x-axis:
perpendicular to the ground; y-axis: up and down | d. | x-axis:
parallel to the ground; y-axis: perpendicular to the ground |
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8.
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Which of the following is the best coordinate system to analyze the movement of
a submarine diving at an angle of 45° to the surface of the water?
a. | x-axis: up and down; y-axis: horizontal at the ocean
bottom | b. | x-axis: left and right; y-axis: horizontal at the ocean
bottom | c. | x-axis: horizontal at the water level; y-axis: up and
down | d. | x-axis: horizontal at the water level; y-axis: left and
right |
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9.
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In a coordinate system, if the x component of a vector and the angle
between the vector and x-axis are known, then the magnitude of the vector is calculated by
which operation, taken with respect to the x component?
a. | dividing by the cosine of q | c. | multiplying by the
sine of q | b. | multiplying by the cosine of q | d. | dividing by the sine of q |
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10.
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Which type of quantity is characterized by both magnitude and direction?
a. | vector | b. | trigonometric | c. | algebraic
variable | d. | scalar | e. | dimensional |
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11.
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When three vectors are added graphically and form a closed triangle, the largest
enclosed angle between any two of the vectors cannot be greater than:
a. | 60°. | b. | 120°. | c. | 90°. | d. | No maximum exists. | e. | 180°. |
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12.
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An object, initially moving in the negative x-direction, is subjected to a
change in velocity in the positive y-direction. If the resulting velocity vector is drawn from the
origin, into which quadrant does this vector point?
a. | 3rd | b. | 2nd | c. | 1st | d. | None, since the object is now moving in the
y-direction. | e. | 4th |
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13.
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In a 2-dimensional Cartesian coordinate system the y-component of a given
vector is equal to that vector's magnitude multiplied by which trigonometric function, with
respect to the angle between vector and y-axis?
a. | tangent | b. | sine | c. | cotangent | d. | cosine | e. | none of the
above |
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14.
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In a 2-dimensional Cartesian system, the x-component of a vector is
known, and the angle between vector and x-axis is known. Which operation is used to calculate
the magnitude of the vector? (taken with respect to the x-component)
a. | dividing by cosine | b. | multiplying by sine | c. | multiplying by
cosine | d. | dividing by tangent | e. | dividing by
sine |
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15.
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A baseball is thrown by the center fielder (from shoulder level) to home plate
where it is caught (on the fly at shoulder level) by the catcher. At what point does the magnitude of
the vertical component of velocity have its minimum value? (air resistance is negligible)
a. | just after leaving the center fielder's hand | b. | just before arriving
at the catcher's mitt | c. | at the top of the
trajectory | d. | magnitude of vertical component of velocity is constant | e. | both a and b are
correct |
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16.
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A ball is rolled horizontally off a table with an initial speed of 0.24 m/s. A
stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s. What is the
height of the table? (g = 9.8 m/s2 and air resistance is negligible)
a. | 0.11 m | b. | 0.55 m | c. | 0.44
m | d. | 0.22 m | e. | 0.33 m |
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17.
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A stone is thrown at an angle of 30° above the
horizontal from the top edge of a cliff with an initial speed of 12 m/s. A stop watch measures the
stone's trajectory time from top of cliff to bottom to be 5.6 s. How far out from the
cliff's edge does the stone travel horizontally? (g = 9.8 m/s2 and air
resistance is negligible)
a. | 58 m | b. | 175 m | c. | 154
m | d. | 197 m | e. | 120 m |
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18.
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A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If g = 9.8
m/s2 and air resistance is negligible, then what is the magnitude of the horizontal
component of velocity as the rock strikes the ground?
a. | 9.0 m/s | b. | 7.5 m/s | c. | 31
m/s | d. | 29 m/s | e. | 12 m/s |
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19.
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A boat moves at 10.0 m/s relative to the water. If the boat is in a river where
the current is 2.00 m/s, how long does it take the boat to make a complete round trip of 1 000 m
upstream followed by a 1 000-m trip downstream?
a. | 200 s | b. | 203 s | c. | 208
s | d. | 262 s | e. | 250 s |
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20.
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Plane A is flying at 400 mph in the northeast direction relative to the earth.
Plane B is flying at 500 mph in the north direction relative to the earth. What is the direction of
motion of Plane B as observed from Plane A?
a. | 37.5o N of W | b. | 52.5o N of W | c. | 52.5o N
of E | d. | 37.5o N of E | e. | 36.9o N of
W |
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21.
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Which of the following is a physical quantity that has both magnitude and
direction?
a. | scalar | c. | vector | b. | frame of reference | d. | resultant |
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22.
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Which of the following is an example of projectile motion?
a. | a jet lifting off a runway | b. | a space shuttle being
launched | c. | a thrown baseball | d. | an aluminum can dropped straight down into the
recycling bin |
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Problem (2X per per problem)
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23.
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If Side X = 51 m and q2= 56 °, what is the length of Side Y  .
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24.
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Graphically Add together the following vectors: 160 m/s at 115º 80
m/s at 110º 185 m/s at 75º 
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25.
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Analytically add together the following vectors:
170 m/s at 15º
70
m/s at 20º
90 m/s at
170º
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