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Review of Kinematics
Physics
Study Guide
Kinematics Terms
Further Study
Kinematics Multiple Choice Test
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Further Study
Kinematics Multiple Choice Test
Further Study
Kinematics Multiple Choice Test
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1. Two birds are flying directly towards each other at the same speed If the first bird is flying at a velocity
v
, what is the the velocity of the second bird?
v

v
2
v
Impossible to determine
2. A United Airlines jet is flying at 300 km/hr, while an Air France Concord is speeding along at 1200 km/hr Both airplanes are flying at the same altitude If each aircraft experiences problems with an unruly passenger, and they both decide simultaneously to push the passenger out the door, which of the unruly passengers will hit the earth first? (Ignore air resistance)
The Air France passenger
The United Airlines passenger
Neither They will both hit the ground at the same time
Impossible to determine The answer depends on which passenger is heavier
3. Assuming the airplanes in the previous problem continue to travel at the same velocity after ejecting their respective passengers, where will the passengers land with respect to their aircraft's path?
When they hit the ground, they will be directly beneath the airplane they fell from
When they hit the ground, they will be directly beneath the spot at which the airplane threw them out
They will be in front of the aircraft they fell from
It depends on which plane the passenger fell from
4. The velocity function is all of the following EXCEPT
A function of time
The derivative of the position function
A function which gives the velocity of an object at any point in time
None of the above
5. A police officer living on a planet with no air resistance drops a pair of handcuffs and a handkerchief from the same height at the same time Which one will reach the ground first?
The handkerchief
The handcuffs
They will both hit the ground at the same time
The answer depends on how far above the ground they were when he dropped them
6. What kind of function is an acceleration function describing onedimensional motion?
A scalarvalued function
A vectorvalued function
There is no such thing as acceleration in one dimension
A constant function
7. In general, the acceleration of objects due to the earth's gravitational pull is
constant
98
m/s
^{2}
smaller if the object is further away
greater if the object is further away
8. Kinematics is concerned with
understanding
why
objects move the way they do
describing the movement of objects
action at a distance
None of the above
9. A raindrop on a drizzly day takes one minute from the time it leaves the cloud until it hits your umbrella, 3 miles below The average velocity of the raindrop on its journey is
3 miles/hr
60 miles/hr
180 miles/hr
Impossible to determine because the raindrop accelerates due to gravity
10. The average velocity and the instantaneous velocity of an object will be the same if
the object's speed is constant
the object's acceleration is zero
the object's velocity is always positive
They are never the same
11. A car traveling at constant velocity
v
suddenly brakes in an effort to keep from hitting a rabbit which is 8 ft away If the braking action causes a constant deceleration
a
, how long does it take for the car to come to a complete stop?
t
=
va
t
= 8
a
/
v
t
= 8
a
t
=
v
/
a
12. In the previous question, how far did the car travel as it was braking?
8
av
a
^{2}
13. If the car from the last two questions had initially been traveling at a speed of 10 ft/s, and experienced (from the braking) a deceleration of 5 ft/s
^{2}
, would it have hit the rabbit which was 8 ft away? (Assume the rabbit was dazed and didn't move at all)
yes
no
Impossible to determine without knowing the weight of the car
Impossible to determine because the car can never reach a complete stop
14. Find the derivative of
2
x
^{5}
+
x
^{3}
+
+ 5
10
x
^{5}
+
x
^{2}
+ 5
10
x
^{4}
+
x
^{2}

10
x
^{4}
+
x
^{2}
+
+ 5
None of the above
15. Evaluate the derivative of
x
^{3}
+
x
^{2}
+ 5
x
at
x
=  2
3
14
2
None of the above
16. Find the velocity of an object described by the position function
x
(
t
) = 3
x
^{2}
+
at time
t
=  1
2
5
2
5
17. Find the acceleration of an object described by the position function
x
(
t
) = 3
x
^{2}
+
at time
t
=  1
8
5
18
None of the above
x
(
t
) =
(0, 0, 
g
)
t
^{2}
+ (2, 3, 4)
t
+ (5, 0, 1)
18. What is the magnitude of the initial (ie at
t
= 0
) velocity vector?
5

g
/2
19. What is the position of the object at time
t
=  2
?
(1,  6,  2
g
 7)
12
(1,  6,  7)
(0, 0, 0)
20. The object is moving
in one dimension
in two dimensions
in three dimensions
None of the above
21. What is the acceleration of this object at time
t
= 25
?

g
25(0, 0, 
g
)
g
 (0, 0,
g
)
22. This equation might describe an object
in free fall
moving as a projectile
bouncing straight up and down
with changing acceleration
23. In creatureland, the measure of one's hardcoreness is directly correlated to how high one can jump Unfortunately, creatures cannot jump straight up, but must take a running start If creature A jumps with initial velocity vector
(2, 2, 5)
, and creature B jumps with initial velocity vector
(5, 4, 2)
(where the
z
direction points upwards), which creature is more hardcore?
creature A
creature B
Both creatures are equally hardcore
Impossible to determine without knowing the gravitational acceleration in creatureland
24. According to the previous question, which creature travels furthest during its jump?
creature A
creature B
Both creatures land an equal distance away from their starting point
Impossible to determine without knowing the gravitational acceleration in creatureland
25. Which function could describe the velocity of a ball being thrown horizontally off a fire escape?
v
(
t
) = 
(0, 0,
g
)
t
^{2}
+ (0,
v
, 0)
t
+ (0, 0,
h
)
v
(
t
) =  (0, 0,
g
)
t
+ (
v
, 0, 0)
t
v
(
t
) = 
gt
+
vt
v
(
t
) = 
(0, 0,
g
)
t
+ (0, 0,
v
)
t
26. Phin and Wittgenstein are hanging out on the moon when they decide to have a contest to see who can shoot a bullet farther Both use identical guns Phin decides to shoot at a 60 degree angle, while Wittgenstein holds his gun at 45 degrees when shooting Whose bullet lands the furthest away?
Phin's
Wittgenstein's
Both bullets land the same distance away
Impossible to determine without knowing the acceleration due to gravity on the moon
27. The office of the Harvard Review of Philosophy is located approximately 10 ft below the earth's surface The acceleration due to gravity experienced by members working in this office is
significantly greater than that of people on the earth's surface
significantly smaller than that of people on the earth's surface
approximately equal to that of people on the earth's surface
exactly equal to that of people on the earth's surface
28. A couple of students at Putney decide to go bicycle riding one day Simon rides at a speed of 10 miles per hour, while Liz's average speed is 20 miles per hour After bicycling for several hours, both Simon and Liz come home and park their bicycles exactly where they started Simons's average velocity for the entire ride is
lower than Liz's average velocity
higher than Liz's average velocity
zero
impossible to determine without knowing the actual directions in which he biked
29. If, during their bike ride, Simon and Liz were always biking at a constant speed,
their acceleration was always zero
their velocity was constant
their average velocity after one hour of biking was the same as their average velocity after two hours of biking
None of the above
30. While sitting at his office desk, Stephen Greenblatt enjoys throwing crumpled pieces of paper into a wastebasket across the room Over the years, he has carefully kept track of all the different combinations of initial speeds and angles at which he can throw the crumpled pieces of paper while still making the same basket He hopes to some day have a complete list of all the possibilities Professor Greenblatt's efforts are useless because
although such a list can theoretically be made, he will never have enough time to exhaust all possibilities
there is really only one way to make the basket, and Greenblatt is confused about this because a janitor keeps moving the wastebasket at night
there are infinitely many ways to make this basket from the same position
None of the above
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