Velocity is defined as:
A. rate of change of position with time
B. position divided by time
C. rate of change of acceleration with time
D. a speeding up or slowing down
E. change of position
13. (7.0 × 106)/(2.0 × 10−6) =
A. 3.5 × 10−12
B. 3.5 × 10−6
C. 3.5
D. 3.5 × 106
E. 3.5 × 1012
Ans: E
14. The number of significant figures in 0.00150 is:
A. 2
B. 3
C. 4
D. 5
E. 6
Ans: B
Acceleration is defined as:
A. rate of change of position with time
B. speed divided by time
C. rate of change of velocity with time
D. a speeding up or slowing down
E. change of velocity
Which of the following is NOT an example of accelerated motion?
A. Vertical component of projectile motion
B. Circular motion at constant speed
C. A swinging pendulum
D. Earth’s motion about sun
E. Horizontal component of projectile motion
A particle goes from x = −2m, y =3m, z =1mto x =3m, y = −1m, z = 4m. Its displacement is:
A. (1m)ˆi + (2m)ˆj + (5m) ˆk
B. (5m)ˆi −(4m)ˆj + (3m) ˆk
C. −(5m)ˆi + (4m)ˆj −(3m) ˆk
D. −(1m)ˆi −(2m)ˆj −(5m) ˆk
E. −(5m)ˆi −(2m)ˆj + (3m) ˆk
A jet plane in straight horizontal flight passes over your head. When it is directly above you, the sound seems to come from a point behind the plane in a direction 30◦
from the vertical. The speed of the plane is:
A. the same as the speed of sound
B. half the speed of sound
C. three-fifths the speed of sound
D. 0.866 times the speed of sound
E. twice the speed of sound
8. A plane traveling north at 200m/s turns and then travels south at 200m/s. The change in its velocity is:
A. zero
B. 200m/s north
C. 200m/s south
D. 400m/s north
E. 400m/s south
Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:
A. strikes the plane at the same time as the other body.
B. strikes the plane earlier than the other body
C. has the vertical component of its velocity altered
D. has the vertical component of its acceleration altered
E. follows a straight line path along the resultant acceleration vector
A. rate of change of position with time
B. position divided by time
C. rate of change of acceleration with time
D. a speeding up or slowing down
E. change of position
13. (7.0 × 106)/(2.0 × 10−6) =
A. 3.5 × 10−12
B. 3.5 × 10−6
C. 3.5
D. 3.5 × 106
E. 3.5 × 1012
Ans: E
14. The number of significant figures in 0.00150 is:
A. 2
B. 3
C. 4
D. 5
E. 6
Ans: B
Acceleration is defined as:
A. rate of change of position with time
B. speed divided by time
C. rate of change of velocity with time
D. a speeding up or slowing down
E. change of velocity
Which of the following is NOT an example of accelerated motion?
A. Vertical component of projectile motion
B. Circular motion at constant speed
C. A swinging pendulum
D. Earth’s motion about sun
E. Horizontal component of projectile motion
A particle goes from x = −2m, y =3m, z =1mto x =3m, y = −1m, z = 4m. Its displacement is:
A. (1m)ˆi + (2m)ˆj + (5m) ˆk
B. (5m)ˆi −(4m)ˆj + (3m) ˆk
C. −(5m)ˆi + (4m)ˆj −(3m) ˆk
D. −(1m)ˆi −(2m)ˆj −(5m) ˆk
E. −(5m)ˆi −(2m)ˆj + (3m) ˆk
A jet plane in straight horizontal flight passes over your head. When it is directly above you, the sound seems to come from a point behind the plane in a direction 30◦
from the vertical. The speed of the plane is:
A. the same as the speed of sound
B. half the speed of sound
C. three-fifths the speed of sound
D. 0.866 times the speed of sound
E. twice the speed of sound
8. A plane traveling north at 200m/s turns and then travels south at 200m/s. The change in its velocity is:
A. zero
B. 200m/s north
C. 200m/s south
D. 400m/s north
E. 400m/s south
Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an additional horizontal acceleration during its descent, it:
A. strikes the plane at the same time as the other body.
B. strikes the plane earlier than the other body
C. has the vertical component of its velocity altered
D. has the vertical component of its acceleration altered
E. follows a straight line path along the resultant acceleration vector
The velocity of a projectile equals its initial velocity added to:
A. a constant horizontal velocity
B. a constant vertical velocity
C. a constantly increasing horizontal velocity
D. a constantly increasing downward velocity
E. a constant velocity directed at the target
A. a constant horizontal velocity
B. a constant vertical velocity
C. a constantly increasing horizontal velocity
D. a constantly increasing downward velocity
E. a constant velocity directed at the target
16. An object starts from rest at the origin and moves along the x axis with a constant acceleration
of 4m/s2. Its average velocity as it goes from x = 2m to x = 8m is:
A. 1m/s
B. 2m/s
C. 3m/s
D. 5m/s
E. 6m/s
ans: E
17. Of the following situations, which one is impossible?
A. A body having velocity east and acceleration east
B. A body having velocity east and acceleration west
C. A body having zero velocity and non-zero acceleration
D. A body having constant acceleration and variable velocity
E. A body having constant velocity and variable acceleration
ans: E
of 4m/s2. Its average velocity as it goes from x = 2m to x = 8m is:
A. 1m/s
B. 2m/s
C. 3m/s
D. 5m/s
E. 6m/s
ans: E
17. Of the following situations, which one is impossible?
A. A body having velocity east and acceleration east
B. A body having velocity east and acceleration west
C. A body having zero velocity and non-zero acceleration
D. A body having constant acceleration and variable velocity
E. A body having constant velocity and variable acceleration
ans: E
1. The SI standard of time is based on:
A. the daily rotation of the earth
B. the frequency of light emitted by Kr86
C. the yearly revolution of the earth about the sun
D. a precision pendulum clock
E. none of these
Ans: E
2. A nanosecond is:
A. 109 s
B. 10−9 s
C. 10−10 s
D. 10−10 s
E. 10−12
Ans: B
3. The SI standard of length is based on:
A. the distance from the north pole to the equator along a meridian passing through Paris
B. wavelength of light emitted by Hg198
C. wavelength of light emitted by Kr86
D. a precision meter stick in Paris
E. the speed of light
Ans: E
4. In 1866, the U. S. Congress defined the U. S. yard as exactly 3600/3937 international meter.
This was done primarily because:
A. length can be measured more accurately in meters than in yards
B. the meter is more stable than the yard
C. this definition relates the common U. S. length units to a more widely used system
D. there are more wavelengths in a yard than in a meter
E. the members of this Congress were exceptionally intelligent
Ans: C
5. Which of the following is closest to a yard in length?
A. 0.01m
B. 0.1m
C. 1m
D. 100m
E. 1000m
Ans: C
6. There is no SI base unit for area because:
A. an area has no thickness; hence no physical standard can be built
B. we live in a three (not a two) dimensional world
C. it is impossible to express square feet in terms of meters
D. area can be expressed in terms of square meters
E. area is not an important physical quantity
Ans: D
7. The SI base unit for mass is:
A. gram
B. pound
C. kilogram
D. ounce
E. kilopound
Ans: C
8. A gram is:
A. 10−6 kg
B. 10−3 kg
C. 1 kg
D. 103 kg
E. 106 kg
Ans: B
9. Which of the following weighs about a pound?
A. 0.05 kg
B. 0.5 kg
C. 5 kg
D. 50 kg
E. 500 kg
Ans: D
10. (5.0 × 104) × (3.0 × 106) =
A. 1.5 × 109
B. 1.5 × 1010
C. 1.5 × 1011
D. 1.5 × 1012
E. 1.5 × 1013
Ans: C
11. (5.0 × 104) × (3.0 × 10−6) =
A. 1.5 × 10−3
B. 1.5 × 10−1
C. 1.5 × 101
D. 1.5 × 103
E. 1.5 × 105
Ans: B
2 Chapter 1: MEASUREMENT
12. 5.0 × 105 + 3.0 × 106 =
A. 8.0 × 105
B. 8.0 × 106
C. 5.3 × 105
D. 3.5 × 105
E. 3.5 × 106
Ans: E
15. The number of significant figures in 15.0 is:
A. 1
B. 2
C. 3
D. 4
E. 5
Ans: C
16. 3.2 × 2.7 =
A. 9
B. 8
C. 8.6
D. 8.64
E. 8.640
Ans: C
Chapter 1: MEASUREMENT 3
17. 1.513 + 27.3 =
A. 29
B. 28.8
C. 28.9
D. 28.81
E. 28.813
( )Ans: B
18. 1 mi is equivalent to 1609 m so 55 mph is:
A. 15 m/s
B. 25 m/s
C. 66 m/s
D. 88 m/s
E. 1500 m/s
Ans: B
19. A sphere with a radius of 1.7 cm has a volume of:
A. 2.1 × 10−5 m3
B. 9.1 × 10−4 m3
C. 3.6 × 10−3 m3
D. 0.11 m3
E. 21 m3
Ans: A
20. A sphere with a radius of 1.7 cm has a surface area of:
A. 2.1 × 10−5 m2
B. 9.1 × 10−4 m2
C. 3.6 × 10−3 m2
D. 0.11 m2
E. 36 m2
Ans: C
21. A right circular cylinder with a radius of 2.3 cm and a height of 1.4 m has a volume of:
A. 0.20 m3
B. 0.14 m3
C. 9.3 × 10−3 m3
D. 2.3 × 10−3 m3
E. 7.4 × 10−4 m3
Ans: D
22. A right circular cylinder with a radius of 2.3 cm and a height of 1.4 cm has a total surface area
of:
A. 1.7 × 10−3 m2
B. 3.2 × 10−3 m2
C. 2.0 × 10−3 m3
D. 5.3 × 10−3 m2
E. 7.4 × 10−3 m2
Ans: D
23. A cubic box with an edge of exactly 1 cm has a volume of:
A. 10−9 m3
B. 10−6 m3
C. 10−3 m3
D. 103 m3
E. 106 m3
Ans: B
24. A square with an edge of exactly 1 cm has an area of:
A. 10−6 m2
B. 10−4 m2
C. 102 m2
D. 104 m2
E. 106 m2
Ans: B
25. 1 m is equivalent to 3.281 ft. A cube with an edge of 1.5 ft has a volume of:
A. 1.2 × 102 m3
B. 9.6 × 10−2 m3
C. 10.5 m3
D. 9.5 × 10−2 m3
E. 0.21 m3
Ans: B
26. During a short interval of time the speed v in m/s of an automobile is given by v = at2 + bt3,
where the time t is in seconds. The units of a and b are respectively:
A. m · s2; m· s4
B. s3/m; s4/m
C. m/s2; m/s3
D. m/s3; m/s4
E. m/s4; m/s5
Ans: D
27. Suppose A = BC, where A has the dimension L/M and C has the dimension L/T. Then B
has the dimension:
A. T/M
B. L2/TM
C. TM/L2
D. L2T/M
E. M/L2T
Ans: A
28. Suppose A = BnCm, where A has dimensions LT, B has dimensions L2T−1, and C has
dimensions LT2. Then the exponents n and m have the values:
A. 2/3; 1/3
B. 2; 3
C. 4/5; −1/5
D. 1/5; 3/5
E. 1/2; 1/2
Ans: D
1. A particle moves along the x axis from xi to xf . Of the following values of the initial and final
coordinates, which results in the displacement with the largest magnitude?
A. xi = 4m, xf = 6m
B. xi = −4m, xf = −8m
C. xi = −4m, xf = 2m
D. xi = 4m, xf = −2m
E. xi = −4m, xf = 4m
ans: E
2. A particle moves along the x axis from xi to xf . Of the following values of the initial and final
coordinates, which results in a negative displacement?
A. xi = 4m, xf = 6m
B. xi = −4m, xf = −8m
C. xi = −4m, xf = 2m
D. xi = −4m, xf = −2m
E. xi = −4m, xf = 4m
ans: B
3. The average speed of a moving object during a given interval of time is always:
A. the magnitude of its average velocity over the interval
B. the distance covered during the time interval divided by the time interval
C. one-half its speed at the end of the interval
D. its acceleration multiplied by the time interval
E. one-half its acceleration multiplied by the time interval.
ans: B
4. Two automobiles are 150 kilometers apart and traveling toward each other. One automobile
is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they
meet?
A. 2.5
B. 2.0
C. 1.75
D. 1.5
E. 1.25
ans: D
5. A car travels 40 kilometers at an average speed of 80km/h and then travels 40 kilometers at
an average speed of 40km/h. The average speed of the car for this 80-km trip is:
A. 40km/h
B. 45km/h
C. 48km/h
D. 53km/h
E. 80km/h
ans: D
6. A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around,
and returns to Hither. The time for this round trip is 2 hours. The magnitude of the average
velocity of the car for this round trip is:
A. 0
B. 50 km/hr
C. 100 km/hr
D. 200 km/hr
E. cannot be calculated without knowing the acceleration
ans: A
9. A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given
by v = bt2, where b is a constant. The expression for the distance traveled by this car from its
position at t = 0 is:
A. bt3
B. bt3/3
C. 4bt2
D. 3bt2
E. bt3/2
ans: B
10. A ball rolls up a slope. At the end of three seconds its velocity is 20 cm/s; at the end of eight
seconds its velocity is 0. What is the average acceleration from the third to the eighth second?
A. 2.5 cm/s2
B. 4.0 cm/s2
C. 5.0 cm/s2
D. 6.0 cm/s2
E. 6.67 cm/s2
ans: B
11. The coordinate of an object is given as a function of time by x = 7t − 3t2, where x is in meters
and t is in seconds. Its average velocity over the interval from t = 0 to t = 4 s is:
A. 5m/s
B. −5m/s
C. 11m/s
D. −11m/s
E. −14.5m/s
ans: B
12. The velocity of an object is given as a function of time by v = 4t − 3t2, where v is in m/s and
t is in seconds. Its average velocity over the interval from t = 0 to t = 2s:
A. is 0
B. is −2m/s
C. is 2m/s
D. is −4m/s
E. cannot be calculated unless the initial position is given
ans: A
13. The coordinate of an object is given as a function of time by x = 4t2 −3t3, where x is in meters
and t is in seconds. Its average acceleration over the interval from t = 0 to t = 2 s is:
A. −4m/s2
B. 4m/s2
C. −10m/s2
D. 10m/s2
E. −13m/s2
ans: C
14. Each of four particles move along an x axis. Their coordinates (in meters) as functions of time
(in seconds) are given by
particle 1: x(t) = 3.5 − 2.7t3
particle 2: x(t) = 3.5 +2.7t3
particle 3: x(t) = 3.5 +2.7t2
particle 4: x(t) = 3.5 − 3.4t − 2.7t2
Which of these particles have constant acceleration?
A. All four
B. Only 1 and 2
C. Only 2 and 3
D. Only 3 and 4
E. None of them
ans: D
15. Each of four particles move along an x axis. Their coordinates (in meters) as functions of time
(in seconds) are given by
particle 1: x(t) = 3.5 − 2.7t3
particle 2: x(t) = 3.5 +2.7t3
particle 3: x(t) = 3.5 +2.7t2
particle 4: x(t) = 3.5 − 3.4t − 2.7t2
Which of these particles is speeding up for t > 0?
A. All four
B. Only 1
C. Only 2 and 3
D. Only 2, 3, and 4
E. None of them
ans: A
18. Throughout a time interval, while the speed of a particle increases as it moves along the x axis,
its velocity and acceleration might be:
A. positive and negative, respectively
B. negative and positive, respectively
C. negative and negative, respectively
D. negative and zero, respectively
E. positive and zero, respectively
ans: C
19. A particle moves on the x axis. When its acceleration is positive and increasing:
A. its velocity must be positive
B. its velocity must be negative
C. it must be slowing down
D. it must be speeding up
E. none of the above must be true
ans: E
20. The position y of a particle moving along the y axis depends on the time t according to the
equation y = at − bt2. The dimensions of the quantities a and b are respectively:
A. L2/T, L3/T2
B. L/T2, L2/T
C. L/T, L/T2
D. L3/T, T2/L
E. none of these
ans: C
21. A particle moves along the x axis according to the equation x = 6t2, where x is in meters and
t is in seconds. Therefore:
A. the acceleration of the particle is 6 m/s2
B. t cannot be negative
C. the particle follows a parabolic path
D. each second the velocity of the particle changes by 9.8 m/s
E. none of the above
ans: E
22. Over a short interval near time t = 0 the coordinate of an automobile in meters is given by
x(t) = 27t − 4.0t3, where t is in seconds. At the end of 1.0 s the acceleration of the auto is:
A. 27 m/s2
B. 4.0 m/s2
C. −4.0 m/s2
D. −12 m/s2
E. −24 m/s2
ans: E
Which of the following is a scalar quantity?
A. Speed
B. Velocity
C. Displacement
D. Acceleration
E. None of these
Which of the following is a vector quantity?
A. Mass
B. Density
C. Speed
D. Temperature
E. None of these
A. Speed
B. Velocity
C. Displacement
D. Acceleration
E. None of these
Which of the following is a vector quantity?
A. Mass
B. Density
C. Speed
D. Temperature
E. None of these
7. A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around, and
returns to Hither. The time for this round trip is 2 hours. The average speed of the car for
this round trip is:
A. 0
B. 50 km/h
C. 100 km/h
D. 200 km/h
E. cannot be calculated without knowing the acceleration
ans: B
8. The coordinate of a particle in meters is given by x(t) = 16t − 3.0t3, where the time t is in
seconds. The particle is momentarily at rest at t =
A. 0.75 s
B. 1.3 s
C. 5.3 s
D. 7.3 s
E. 9.3 s
ans: B
23. Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given
by x(t) = 27t − 4.0t3, where t is in seconds. The magnitudes of the initial (at t = 0) velocity
and acceleration of the auto respectively are:
A. 0; 12 m/s2
B. 0; 24 m/s2
C. 27 m/s; 0
D. 27 m/s; 12 m/s2
E. 27 m/s; 24 m/s2
ans: C
24. At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by
−0.50t, in m/s2 for t in seconds. It stops at t =
A. 64 s
B. 32 s
C. 16 s
D. 8.0 s
E. 4.0 s
ans: D
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