Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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A
vector is a quantity that has
a. | magnitude and time. | b. | time and
direction. | c. | magnitude and direction. | |
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2.
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In
order to find the components of a vector, you should
a. | draw the vector
with correct magnitude and orientation. | b. | measure the sides of the rectangle. | c. | draw a rectangle
so that the vector is the diagonal. | d. | all of the above | |
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3.
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In
the absence of air resistance, the angle at which a thrown ball will go the farthest is
a. | 15
degrees. | b. | 30 degrees. | c. | 45
degrees. | d. | 60 degrees. | e. | 75
degrees. | |
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4.
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A
cannonball is launched from the ground at an angle of 20 degrees above the horizontal and a speed of
30 m/s. Ideally (no air resistance) the ball will land on the ground with a speed of
a. | 30
m/s. | b. | There is not
enough information to say. | c. | 0 m/s. | d. | 40
m/s. | e. | 20
m/s. | |
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5.
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An
object is dropped and falls freely to the ground with an acceleration of g. If it is thrown
upward at an angle instead, its acceleration would be
a. | 0. | b. | larger than g. | c. | g
upward. | d. | g downward. | e. | none of the
above | |
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6.
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What
is the resultant of a 9-unit vector and 12-unit vector at right angles to each
other?
a. | 3
units. | b. | 15 units. | c. | 21
units. | d. | none of the above | |
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True/False
Indicate whether the sentence or statement is true
or false.
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7.
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A
quantity that has only magnitude is called a vector.
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8.
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The
length of a vector represents its magnitude.
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9.
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The
orientation of a vector shows its direction.
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10.
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Any
vector can be represented by two other vectors that are at right angles to each other.
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Essay
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11.
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Use
the parallelogram method and some graph paper to find the resultant of a 6-unit vector and a 8-unit
vector that are at angles of 30 degrees, 90 degrees, 135 degrees, and 180 degrees from each
other.
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Problem
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12.
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A
ball is thrown upward. Its initial vertical component of velocity is 40 m/s, and its initial
horizontal component of velocity is 30 m/s. What are the horizontal and vertical components of the
ball’s velocity 6 s later?
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