Name: Version A Period: AP* Physics B:...

Name: ________________________Version A Period: ____________

(1) Test Questions are Copyright © 1984-2002 by College Entrance Examination Board, Princeton, NJ. All rights reserved. For face‐to‐face teaching purposes, classroom teachers are permitted to reproduce the questions. Web or Mass distribution prohibited. (2) AP® is a registered trademark of the College Entrance Examination Board. The College Entrance Examination Board was not involved in the production of and does not endorse this product. Permission is granted for individual classroom teachers to reproduce for their own classroom use. Any other type of reproduction of these materials is strictly prohibited.

1

AP* Physics B: Kinematics

Directions: Each of the questions or incomplete statements below is followed by five suggested answers or completions. Select the one that is best in each case and then fill in the corresponding oval on the answer sheet.

Note: To simplify calculations, you may use g = 10 m/s2 in all problems.

Before turning in your answer sheet, count the number of questions that you have skipped and place that number next to your name ON YOUR ANSWER SHEET and circle it.

1.

The graph above shows the velocity versus time for an object moving in a straight line. At what time after time = 0 does the object again pass through its initial position?

A) Between 0 and 1 sB) 1 sC) Between 1 and 2 sD) 2 sE) Between 2 and 3 s

Version A

2

2. A body moving in the positive x direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a constant speed of 24 meters per second. At t = 1 second, the body is given a constant acceleration of 6 meters per second squared in the negative x direction. The position x of the body at t = 11 seconds is

A) +99 mB) +36 mC) –36 mD) –75 mE) –99 m

3.

The displacement x of an object moving along the x-axis is shown above as a function of time t. The acceleration of this object must be

A) zeroB) constant but not zeroC) increasingD) decreasingE) equal to g

4. A 2-kilogram block rests at the edge of a platform that is 10 meters above level ground. The block is launched horizontally from the edge of the platform with an initial speed of 3 meters per second. Air resistance is negligible. The time it will take for the block to reach the ground is most nearly

A) 0.3 sB) 1.0 sC) 1.4 sD) 2.0 sE) 3.0 s

5. A diver initially moving horizontally with speed v dives off the edge of a vertical cliff and lands in the water a distance d from the base of the cliff. How far from the base of the cliff would the diver have landed if the diver initially had been moving horizontally with speed 2v ?

A) dB) 2dC) 2dD) 4dE) It cannot be determined unless the height

of the cliff is known.

6. A truck traveled 400 meters north in 80 seconds, and then it traveled 300 meters east in 70 seconds. The magnitude of the average velocity of the truck was most nearly

A) 1.2 m/sB) 3.3 m/sC) 4.6 m/sD) 6.6 m/sE) 9.3 m/s

Version A

3

7.

A projectile is fired with initial velocity v0 at an angle θ with the horizontal and follows the trajectory shown above. Which of the following pairs of graphs best represents the vertical components of the velocity and acceleration, v and a, respectively, of the projectile as functions of time t ?

A)

B)

C)

D)

E)

Version A

4

8. An object is released from rest on a planet that has no atmosphere. The object falls freely for 3.0 meters in the first second. What is the magnitude of the acceleration due to gravity on the planet?

A) l .5 m/s2

B) 3.0 m/s2

C) 6.0 m/s2

D) 10.0 m/s2

E) 12.0 m/s2

Questions 9 - 11

A ball is thrown and follows the parabolic path shown above. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground.

9. How do the speeds of the ball at the three points compare?

A) vP < vQ < vR

B) vR < vQ < vP

C) vQ < vR < vP

D) vQ < vP = vR

E) vP = vR < vQ

10. Which of the following diagrams best shows the direction of the acceleration of the ball at point P ?

A)

B)

C) →

D)

E) ↓

11. Which of the following best indicates the direction of the net force, if any, on the ball at point Q ?

A) ↓

B) ←

C) →

D)E) There is no net force on the ball at point

Q.

Version A

5

12.

A rock of mass m is thrown horizontally off a building from a height h, as shown above. The speed of the rock as it leaves the thrower's hand at the edge of the building is υ0. How much time does it take the rock to travel from the edge of the building to the ground?

A) hυ0

B) hυ0

C)hυ0g

D) 2hg

E) 2hg

13. A ball is thrown straight up in the air. When the ball reaches its highest point, which of the following is true? A) It is in equilibrium.B) It has zero acceleration.C) It has maximum momentum.D) It has maximum kinetic energy.E) None of the above.

Version A

6

14.

The graph above represents position x versus time t for an object being acted on by a constant force. The average speed during the interval between 1 s and 2 s is most nearly

A) 2 m/sB) 4 m/sC) 5 m/sD) 6 m/sE) 8 m/s

15. The velocity of a projectile at launch has a horizontal component vh and a vertical component υv. Air resistance is negligible. When the projectile is at the highest point of its trajectory, which of the following show the vertical and horizontal components of its velocity and the vertical component of its acceleration?

Vertical Horizontal Vertical Velocity Velocity Acceleration

A) vv vh 0B) vv 0 0C) 0 vh 0D) 0 0 gE) 0 vh g

Version A

7

16. In the absence of air friction, an object dropped near the surface of the Earth experiences a constant acceleration of about 9.8 m/s2. This means that the

A) speed of the object increases 9.8 m/s during each second

B) speed of the object as it falls is 9.8 m/sC) object falls 9.8 meters during each secondD) object falls 9.8 meters during the first

second onlyE) derivative of the distance with respect to

time for the object equals 9.8 m/s2

17. A projectile is fired from the surface of the Earth with a speed of 200 meters per second at an angle of 30° above the horizontal. If the ground is level, what is the maximum height reached by the projectile?

A) 5 mB) 10 m C) 500 mD) 1,000 mE) 2,000 m

Version A

8

18.

The graph above shows the velocity v as a function of time t for an object moving in a straight line. Which of the following graphs shows the corresponding displacement x as a function of time t for the same time interval?

A)

B)

C)

D)

E)

Version A

9

19.

A target T lies flat on the ground 3 m from the side of a building that is 10 m tall, as shown above. A student rolls a ball off the horizontal roof of the building in the direction of the target. Air resistance is negligible. The horizontal speed with which the ball must leave the roof if it is to strike the target is most nearly

A) 310 m/s

B) 2 m/s

C) 32

m/s

D) 3 m/s

E) 10 53 m/s

20. A 500-kilogram sports car accelerates uniformly from rest, reaching a speed of 30 meters per second in 6 seconds. During the 6 seconds, the car has traveled a distance of

A) 15 mB) 30 mC) 60 mD) 90 mE) 180 m

21. An object is shot vertically upward into the air with a positive initial velocity. Which of the following correctly describes the velocity and acceleration of the object at its maximum elevation? Velocity AccelerationA) Positive PositiveB) Zero ZeroC) Negative NegativeD) Zero NegativeE) Positive Negative

Version A

10

Questions 22-23

At time t = 0, car X traveling with speed v0 passes car Y. which is just starting to move. Both cars then travel on two parallel lanes of the same straight road. The graphs of speed v versus time t for both cars are shown above.

22. Which of the following is true at time t = 20 seconds?

A) Car Y is behind car X.B) Car Y is passing car X.C) Car Y is in front of car X.D) Both cars have the same acceleration. E) Car X is accelerating fester then car Y.

23. From time t = 0 to time t = 40 seconds, the areas under both curves are equal. Therefore, which of the following is true at time t = 40 seconds?

A) Car Y is behind car X.B) Car Y is passing car X.C) Car Y is in front of car X.D) Both cars have the same acceleration. E) Car X is accelerating faster than car Y.

Version A

11

24.

An object slides off a roof 10 meters above the ground with an initial horizontal speed of 5 meters per second as shown above. The time between the object's leaving the roof and hitting the ground is most nearly

A) 12s

B) 12

s

C) 2 sD) 2 sE) 5 2 s

25. An object is dropped from rest from the top of a 400 m cliff on Earth. If air resistance is negligible, what is the distance the object travels during the first 6 s of its fall?

A) 30 mB) 60 mC) 120 mD) 180 mE) 360m

26. The position of an object is given by the equation x = 3.0t2 + 1.5t + 4.5, where x is in meters and t is in seconds. What is the instantaneous acceleration of the object at t =3.0 s? A) 3.0 m/s2

B) 6.0 m/s2

C) 9.0 m/s2

D) 19.5 m/s2

E) 36 m/s2

27. A student is testing the kinematic equations for uniformly accelerated motion by measuring the time it takes for light-weight plastic balls to fall to the floor from a height of 3 m in the lab. The student predicts the time to fall using g as 9.80 m/s2 but finds the measured time to be 35% greater. Which of the following is the most likely cause of the large percent error?

A) The acceleration due to gravity is 70% greater than 9.80 m/s2 at this location.

B) The acceleration due to gravity is 70% less than 9.80 m/s2 at this location.

C) Air resistance increases the downward acceleration.

D) The acceleration of the plastic balls is not uniform.

E) The plastic balls are not truly spherical.

Version A

12

28. Which of the following pairs of graphs shows the distance traveled versus time and the speed versus time for an object uniformly accelerated from rest at time t = 0?

A)

B)

C)

D)

E)

-2-

TABLE OF INFORMATION FOR 2008 and 2009

CONSTANTS AND CONVERSION FACTORS

Proton mass, 271.67 10 kgpm Electron charge magnitude, 191.60 10 Ce

Neutron mass, 271.67 10 kgnm 1 electron volt, 191 eV 1.60 10 J

Electron mass, 319.11 10 kgem Speed of light, 83.00 10 m sc

Avogadro’s number, 23 -10 6.02 10 molN

Universal gravitationalconstant,

11 3 26.67 10 m kg sG

Universal gas constant, 8.31 J (mol K)R Acceleration due to gravityat Earth’s surface,

29.8 m sg

Boltzmann’s constant, 231.38 10 J KBk

1 unified atomic mass unit, 27 21 u 1.66 10 kg 931 MeV c

Planck’s constant, 34 156.63 10 J s 4.14 10 eV sh 25 31.99 10 J m 1.24 10 eV nmhc

Vacuum permittivity, 12 2 20 8.85 10 C N m�

Coulomb’s law constant, 9 2 201 4 9.0 10 N m Ck p�

Vacuum permeability, 70 4 10 (T m) Am p

Magnetic constant, 70 4 10 (T m) Ak m p

1 atmosphere pressure, 5 2 51 atm 1.0 10 N m 1.0 10 Pa

meter, m mole, mol watt, W farad, F

kilogram, kg hertz, Hz coulomb, C tesla, T second, s newton, N volt, V degree Celsius, C ampere, A pascal, Pa ohm, W electron-volt, eV

UNIT SYMBOLS

kelvin, K joule, J henry, H

PREFIXES

VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES Factor Prefix Symbol q 0 30 37 45 53 60 90

910 giga G sinq 0 1 2 3 5 2 2 4 5 3 2 1

610 mega M cosq 1 3 2 4 5 2 2 3 5 1 2 0

310 kilo k tanq 0 3 3 3 4 1 4 3 3 210 centi c

310 milli m

610 micro m

910 nano n

1210 pico p

The following conventions are used in this exam. I. Unless otherwise stated, the frame of reference of any problem is

assumed to be inertial. II. The direction of any electric current is the direction of flow of positive

charge (conventional current). III. For any isolated electric charge, the electric potential is defined as zero at

an infinite distance from the charge. IV. For mechanics and thermodynamics equations, W represents the work

done on a system.

rmccormick

Rectangle

Name: ________________________Version B Period: ____________


1






A) +99 mB) +36 mC) –36 mD) –75 mE) –99 m

Version B

2

2.










Version B

3


A)

B)

C)

D)

E)

Version B

4

6.




Version B

5

Questions 8 - 9






Version B

6

10.


A) 12s

B) 12

s

C) 2 sD) 2 sE) 5 2 s



A) l .5 m/s2

B) 3.0 m/s2

C) 6.0 m/s2

D) 10.0 m/s2

E) 12.0 m/s2

Version B

7





A) dB) 2dC) 2dD) 4dE) It cannot be determined unless the height of the cliff is known.

Questions 15-17



A) vP < vQ < vR

B) vR < vQ < vP

C) vQ < vR < vP

D) vQ < vP = vR

E) vP = vR < vQ

Version B

8


A)

B)

C) →

D)

E) ↓


A) ↓

B) ←

C) →


Q.


B) 6.0 m/s2

C) 9.0 m/s2

D) 19.5 m/s2

E) 36 m/s2


A) 5 mB) 10 m C) 500 mD) 1,000 mE) 2,000 m

20.


A) 310 m/s

B) 2 m/s

C) 32

m/s

D) 3 m/s

E) 10 53 m/s

Version B

9

21.


A) hυ0

B) hυ0

C)hυ0g

D) 2hg

E) 2hg


A) 30 mB) 60 mC) 120 mD) 180 mE) 360m







Version B

10

24.


A)

B)

C)

D)

E)

Version B

11


A) 15 mB) 30 mC) 60 mD) 90 mE) 180 m

Version B

12

26.


A)

B)

C)

D)

E)

Version B

13


A) 0.3 sB) 1.0 sC) 1.4 sD) 2.0 sE) 3.0 s

28.



-2-








11 3 26.67 10 m kg sG


29.8 m sg











UNIT SYMBOLS


PREFIXES


910 giga G sinq 0 1 2 3 5 2 2 4 5 3 2 1

610 mega M cosq 1 3 2 4 5 2 2 3 5 1 2 0


310 milli m

610 micro m

910 nano n

1210 pico p





done on a system.

rmccormick

Rectangle

Name: ________________________Version C Period: ____________


1






2. The position of an object is given by the equation x = 3.0t2 + 1.5t + 4.5, where x is in meters and t is in seconds. What is the instantaneous acceleration of the object at t = 3.0 s? A) 3.0 m/s2

B) 6.0 m/s2

C) 9.0 m/s2

D) 19.5 m/s2

E) 36 m/s2

Version C

2


A)

B)

C)

D)

E)

Version C

3

4.




A) +99 mB) +36 mC) –36 mD) –75 mE) –99 m

Version C

4

Questions 6 - 8



A)

B)

C) →

D)

E) ↓


A) ↓

B) ←

C) →


Q.


A) vP < vQ < vR

B) vR < vQ < vP

C) vQ < vR < vP

D) vQ < vP = vR

E) vP = vR < vQ


A) 5 mB) 10 m C) 500 mD) 1,000 mE) 2,000 m


A) l .5 m/s2

B) 3.0 m/s2

C) 6.0 m/s2

D) 10.0 m/s2

E) 12.0 m/s2

Version C

5

11.


A)

B)

C)

D)

E)

Version C

6

Questions 12-13






Version C

7




Version C

8

15.


A) hυ0

B) hυ0

C)hυ0g

D) 2hg

E) 2hg

16.


A) 310 m/s

B) 2 m/s

C) 32

m/s

D) 3 m/s

E) 10 53 m/s


A) 0.3 sB) 1.0 sC) 1.4 sD) 2.0 sE) 3.0 s

Version C

9


A) dB) 2dC) 2dD) 4dE) It cannot be determined unless the height

of the cliff is known.

19.



Version C

10

20.


A)

B)

C)

D)

E)

Version C

11














24.


A) 12s

B) 12

s

C) 2 sD) 2 sE) 5 2 s

25.



Version C

12


A) 15 mB) 30 mC) 60 mD) 90 mE) 180 m



A) 30 mB) 60 mC) 120 mD) 180 mE) 360m

-2-








11 3 26.67 10 m kg sG


29.8 m sg











UNIT SYMBOLS


PREFIXES


910 giga G sinq 0 1 2 3 5 2 2 4 5 3 2 1

610 mega M cosq 1 3 2 4 5 2 2 3 5 1 2 0


310 milli m

610 micro m

910 nano n

1210 pico p





done on a system.

rmccormick

Rectangle

Name: ________________________Version D Period: ____________


1





Questions 1 - 2




Version D

2




A) +99 mB) +36 mC) –36 mD) –75 mE) –99 m

Questions 4 - 6



A)

B)

C) →

D)

E) ↓


A) ↓

B) ←

C) →


Q.

Version D

3


A) vP < vQ < vR

B) vR < vQ < vP

C) vQ < vR < vP

D) vQ < vP = vR

E) vP = vR < vQ

7.


A) 310 m/s

B) 2 m/s

C) 32

m/s

D) 3 m/s

E) 10 53 m/s




Version D

4



Version D

5

10.


A)

B)

C)

D)

E)

Version D

6







A) l .5 m/s2

B) 3.0 m/s2

C) 6.0 m/s2

D) 10.0 m/s2

E) 12.0 m/s2

Version D

7


A)

B)

C)

D)

E)

Version D

8

14.




A) dB) 2dC) 2dD) 4dE) It cannot be determined unless the height of the cliff is known.

Version D

9

16.


A)

B)

C)

D)

E)

Version D

10


A) 5 mB) 10 m C) 500 mD) 1,000 mE) 2,000 m


19.



20.



Version D

11

21.


A) hυ0

B) hυ0

C)hυ0g

D) 2hg

E) 2hg








B) 6.0 m/s2

C) 9.0 m/s2

D) 19.5 m/s2

E) 36 m/s2

Version D

12

24.


A) 12s

B) 12

s

C) 2 sD) 2 sE) 5 2 s


Version D

13


A) 0.3 sB) 1.0 sC) 1.4 sD) 2.0 sE) 3.0 s


A) 30 mB) 60 mC) 120 mD) 180 mE) 360m


A) 15 mB) 30 mC) 60 mD) 90 mE) 180 m

-2-








11 3 26.67 10 m kg sG


29.8 m sg











UNIT SYMBOLS


PREFIXES


910 giga G sinq 0 1 2 3 5 2 2 4 5 3 2 1

610 mega M cosq 1 3 2 4 5 2 2 3 5 1 2 0


310 milli m

610 micro m

910 nano n

1210 pico p





done on a system.

rmccormick

Rectangle

Name: Version A Period: AP* Physics B:...

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