A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what velocity will it hit the ground? (g = 9.8 m/s2 and air resistance negligible)

1
A helicopter is traveling at 40 m/s at a constant
altitude of 100 m over a level field. If a wheel
falls off the helicopter, with what velocity will
it hit the ground? (g 9.8 m/s2 and air
resistance negligible)

1. 40 m/s
2. 50 m/s
3. 60 m/s
4. 70 m/s

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2
A stone is thrown horizontally from the top edge
of a cliff with an initial speed of 10 m/s. A
stop watch measures the stone's trajectory time
from top of cliff to bottom to be 4.3 s. What is
the height of the cliff? (g 9.8 m/s2 and air
resistance is negligible)

1. 22 m
2. 43 m
3. 77 m
4. 91 m

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3
A stone is thrown horizontally from the top edge
of a cliff with an initial speed of 10 m/s. A
stop watch measures the stone's trajectory time
from top of cliff to bottom to be 4.3 s. How far
out from the cliff's edge does the stone travel
horizontally? (g 9.8 m/s2 and air resistance
is negligible)

1. 22 m
2. 43 m
3. 77 m
4. 91 m

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4
A baseball is thrown by the centerfielder (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)

1. just after leaving centerfielder's hand
2. just before arriving at catcher's mitt
3. at the top of the trajectory
4. magnitude of vertical component of velocity is
   constant

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5
A baseball is thrown by the centerfielder (from
shoulder level) to home plate where it is caught
(on the fly at shoulder level) by the catcher. At
what point is the ball's speed at a minimum? (air
resistance is negligible)

1. just after leaving the centerfielder's hand
2. just before arriving at the catcher's mitt
3. at the top of the trajectory
4. speed is constant during entire trajectory

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6
A baseball is thrown by the centerfielder (from
shoulder level) to home plate where it is caught
(on the fly at shoulder level) by the catcher. At
what point is the magnitude of the acceleration
at a minimum? (air resistance is negligible)

1. just after leaving centerfielder's hand
2. just before arriving at catcher's mitt
3. at the top of the trajectory
4. acceleration is constant during entire trajectory

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7
A baseball thrown from the outfield is released
from shoulder height at an initial velocity of
29.4 m/s at an initial angle of 30 with respect
to the horizontal. What is the maximum vertical
displacement that the ball reaches during its
trajectory?

1. 11.0 m
2. 9.8 m
3. 22.1 m
4. 44.1 m

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8
Five boys are pushing on a snowball, and each is
pushing with a force of 10.0 N. However, each boy
is pushing in a different direction. They are
pushing north, northeast, east, southeast, and
south. (Each boy is pushing at an angle of 45
relative to his neighbor.) What is the total push
on the ball?

1. 0
2. 17.1 N
3. 24.1 N
4. 27.1 N

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9
A baseball thrown from the outfield is thrown
from shoulder height at an initial velocity of
29.4 m/s at an initial angle of 30 with respect
to the horizontal. It is in its trajectory for a
total interval of 3 s before it is caught by the
third baseman at shoulder-height level. (Assume
air resistance negligible.) What is the ball's
horizontal displacement?

1. 76.4 m
2. 38.2 m
3. 57.3 m
4. zero

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10
A baseball thrown from the outfield is released
from shoulder height at an initial velocity of
29.4 m/s at an initial angle of 30 with respect
to the horizontal. If it is in its trajectory for
a total of 3 s before being caught by the third
baseman at shoulder-height level, what is the
ball's net vertical displacement during its 3 s
trajectory?

1. 11.0 m
2. 9.8 m
3. 22.1 m
4. zero

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11
The first displacement is 6 m and the second
displacement is 3 m. They cannot add together
to give a total displacement of

1. 2 m
2. 3 m
3. 6 m
4. 9 m

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12
Vector A is 3 units in length and points along
the positive x-axis vector B is 4 units in
length and points along a direction 150 from
the positive x-axis. What is the magnitude of the
resultant when vectors A and B are added?

1. 7.0
2. 6.7
3. 4.7
4. 2.1

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13
Vector A is 3 units in length and points along
the positive x-axis vector B is 4 units in
length and points along a direction 150 from
the positive x-axis. What is the direction of the
resultant with respect to the positive x-axis?

1. 77
2. 13
3. 86
4. 103

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14
I walk six miles in a straight line in a
direction north of east and I end up 2 miles east
and several miles north. How many degrees north
of east have I walked?

1. 19
2. 45
3. 60
4. 71

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15
A jogger runs halfway around a circular path with
a radius of 60 m. What, respectively, are the
displacement and distance jogged?

1. 60 m, 188 m
2. 120 m, 188 m
3. 0 m, 377 m
4. 120 m, 377 m

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16
Vector A points south and vector B points west.
If we subtract A from B, the direction of the
vector (B - A) points

1. north of east
2. south of east
3. north of west
4. south of west

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17
An ant on a picnic table travels 30 cm eastward,
then 25 cm northward and finally 15 cm westward.
What is its directional displacement with respect
to its original position?

1. 59 N of E
2. 29 N of E
3. 29 N of W
4. 77 N of E

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18
A student adds two vectors with magnitudes of 200
and 40. Of the following, which one is the only
possible choice for the magnitude of the
resultant?

1. 100
2. 200
3. 260
4. 40

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19
A string attached to an airborne kite is
maintained at an angle of 40 with the
horizontal. If a total of 120 m of string is
reeled in while bringing the kite back to the
ground, what is the horizontal displacement of
the kite in the process (assume the kite string
doesn't sag)?

1. 100 m
2. 84 m
3. 77 m
4. 92 m

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20
A boy pulls a sled across a level field by
exerting a force of 110 N at an angle of 30 with
the ground. What are the parallel and
perpendicular components, respectively, of this
force with respect to the ground?

1. 64 N, 190 N
2. 190 N, 64 N
3. 95 N, 55 N
4. 55 N, 95 N

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21
An ant on a picnic table travels 30 cm eastward,
then 25 cm northward and finally 15 cm westward.
What is the magnitude of its net displacement?

1. 70 cm
2. 57 cm
3. 52 cm
4. 29 cm

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22
Of the following, which type of quantity is
characterized by both magnitude and direction?

1. scalar
2. vector
3. trigonometric
4. algebraic variable

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23
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 x-axis?

1. cosine
2. sine
3. tangent
4. cotangent

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24
An example of a vector quantity is which of the
following?

1. velocity
2. temperature
3. volume
4. mass

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25
In a 2-dimensional cartesian coordinate system
the x-component of a given vector is equal to
that vectors magnitude multiplied by which
trigonometric function, with respect to the angle
between vector and x-axis?

1. cosine
2. sine
3. tangent
4. cotangent

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26
When one subtracts a velocity vector from another
velocity vector, the result is which of the
following?

1. another velocity
2. an acceleration
3. a displacement
4. a scalar

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27
When one adds a displacement vector to another
displacement vector, the result is which of the
following?

1. a velocity
2. an acceleration
3. another displacement
4. a scalar

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28
A fireman, 50 m away from a burning building,
directs a stream of water from a firehose at an
angle of 30 above the horizontal. If the
velocity of the stream is 40 m/s, at what height
will the stream of water strike the building?

1. 9.6 m
2. 13.4 m
3. 18.7 m
4. 22.4 m

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29
The highest mountain on Mars is Olympus Mons,
rising 22,000 meters above the Martian surface.
If we were to throw an object horizontally off
the mountain top, how long would it take to reach
the surface? (Ignore atmospheric drag forces and
use gMars 3.72 m/s 2 .)

1. 1.8 minutes
2. 2.4 minutes
3. 3.0 minutes
4. 1.3 minutes

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30
Wiley Coyote has missed the elusive road runner
once again. This time, he leaves the edge of the
cliff at 50 m/s horizontal velocity. If the
canyon is 100 m deep, how far from the edge of
the cliff does the coyote land?

1. 112 m
2. 225 m
3. 337 m
4. 400 m

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31
Superman is flying at treetop level near Paris
when he sees the Eiffel Tower elevator start to
fall (the cable snapped). His x-ray vision tells
him Lois Lane is inside. If Superman is 1 km away
from the tower, and the elevator falls from a
height of 240 m, how long does Superman have to
save Lois, and what must be his average velocity?

1. 3 s, 333 m/s
2. 5 s, 200 m/s
3. 7 s, 143 m/s
4. 9 s, 111 m/s

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32
It is said that in his youth George Washington
threw a silver dollar across a river. Assuming
the river was 75 m wide and the coin was thrown
at a 45 angle, what minimum initial speed was
required to get the coin across the river?

1. 7 m/s
2. 14 m/s
3. 21 m/s
4. 28 m/s

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33
A baseball leaves the bat with a speed of 44 m/s
and an angle of 30 above the horizontal. A 5 m
high fence is located at a horizontal distance of
132 m from the point where the ball is struck.
Assuming the ball leaves the bat 1 m above ground
level, by how much does the ball clear the fence?

1. 4.4 m
2. 8.8 m
3. 13.4 m
4. 17.9 m

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34
A river flows due east at 3 m/s. A boat crosses
the 300 m wide river by maintaining a constant
velocity of 10 m/s due north relative to the
water. If no correction is made for the current,
how far downstream does the boat move by the time
it reaches the far shore?

1. 6 m
2. 30 m
3. 60 m
4. 90 m

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35
A track star in the broad jump goes into the jump
at 12 m/s and launches himself at 20 above the
horizontal. How long is he in the air before
returning to Earth? (g 9.8 m/s2 ).

1. 0.42 s
2. 0.83 s
3. 1.25 s
4. 1.66 s

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36
A jet airliner moving at 500 mph due east moves
into a region where the wind is blowing at 120
mph in a direction 30 north of east. What is the
new velocity and direction of the aircraft?

1. 607 mph, 5.67 N of E
2. 620 mph, 7.10 N of E
3. 550 mph, 6.22 N of E
4. 588 mph, 4.87 N of E

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37
A boat moves at 10 m/s relative to the water. If
the boat is in a river where the current is 2
m/s, how long does it take the boat to make a
complete round trip of 1000 m upstream followed
by a 1000 m trip downstream?

1. 200 s
2. 203 s
3. 208 s
4. 250 s

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38
A quarterback takes the ball from the line of
scrimmage, runs backward for 10 yards, then
sideways parallel to the line of scrimmage for 15
yards. He then throws a 50-yard forward pass
straight downfield perpendicular to the line of
scrimmage. The receiver is tackled immediately.
How far is the football displaced from its
original position?

1. 42.7 yards
2. 55 yards
3. 62.5 yards
4. 75 yards

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39
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, what is the magnitude
of the horizontal displacement of the rock?

1. 38 m
2. 46 m
3. 66 m
4. 90 m

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40
A bridge that was 5 m long has been washed out by
the rain several days ago. How fast must a car be
going to successfully jump the stream? Although
the road is level on both sides of the bridge,
the road on the far side is 2 m lower than the
road on this side.

1. 5 m/s
2. 8 m/s
3. 13 m/s
4. 25 m/s

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41
A rifle is aimed horizontally toward the center
of a target 100 m away. If the bullet strikes 10
cm below the center, what was the velocity of the
bullet? (Ignore air friction.)

1. 300 m/s
2. 333 m/s
3. 500 m/s
4. 700 m/s

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42
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 speed
of the rock as it hits the ground?

1. 15 m/s
2. 21 m/s
3. 30 m/s
4. 36 m/s

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43
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)

1. 58 m
2. 154 m
3. 120 m
4. 197 m

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44
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 vertical velocity component of
the rock as it hits the ground?

1. 9.0 m/s
2. 18 m/s
3. 26 m/s
4. 29 m/s

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45
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?

1. 7.5 m/s
2. 9.0 m/s
3. 12 m/s
4. 29 m/s

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46
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. What is the height of the
cliff? (g 9.8 m/s2 and air resistance is
negligible)

1. 58 m
2. 154 m
3. 120 m
4. 197 m

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47
In a 2-dimensional cartesian system, if the
x-component of a vector is known, as well as the
angle between vector and x-axis, then the
magnitude of the vector is calculated by which
operation, taken with respect to the x-component?

1. dividing by cosine
2. dividing by sine
3. multiplying by cosine
4. multiplying by sine

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48
A city jogger runs ten blocks due east, five
blocks due south and another two blocks due east.
Assume all blocks are of equal size. What is the
magnitude of the jogger's displacement, start to
finish?

1. 14.0 blocks
2. 8.4 blocks
3. 11.1 blocks
4. 13.0 blocks

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49
The following force vectors act on an object
i) 50 newtons at 45 north of east and ii) 25
newtons at 30 south of east. Which of the
following represents the magnitude of the
resultant and its angle relative to the easterly
direction?

1. 75.0 newtons 7.5
2. 61.4 newtons 21.8
3. 23.4 newtons 18.3
4. 12.8 newtons 37.5

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50
Find the resultant of the following two vectors
i) 200 units due east and ii) 400 units 30
north of west.

1. 300 units 30 north of west
2. 616 units 15 north of west
3. 546 units 60 north of west
4. 248 units 54 north of west

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