Projectile Motion
.docx
keyboard_arrow_up
School
University of Texas, Rio Grande Valley *
*We aren’t endorsed by this school
Course
1401
Subject
Physics
Date
Dec 6, 2023
Type
docx
Pages
8
Uploaded by GrandTank6951
Section: 1401-A
Name:
Projectile Motion – Lab Report
GOAL:
(briefly state what experiment(s) will be performed and with what purpose)
PROCEDURE 1: Initial Velocity, Time of Flight, and Range
In this procedure you will be simulating an object fired horizontally. The website you will be
using is:
https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html
1.
Navigate to the website, into the “Intro” tab.
2.
Use the following initial conditions for the simulation:
·
Height = 10 m
·
Initial Velocity = 20 m/s
·
Angle = 0 degrees
·
Air resistance is turned on (checked)
·
Acceleration Vectors, Components is turned on (checked)
·
Speed is set to “Slow”
3.
Fire the object using the red button at the bottom of the screen
4.
Use the blue tool in the toolbox and inspect the time of flight and range of the pumpkin once it
has hit the ground
5.
Repeat this process to fill the values in Table 1 below
Table 1:
Angle
(degrees)
Height (m)
Initial Velocity
(m/s)
Time of Flight
(s)
Range (m)
0
10
20
1.48s
26.48m
0
10
18
1.48s
24m
0
10
16
1.47s
21.48m
0
10
14
1.47s
18.93m
0
10
12
1.46s
16.34m
0
10
10
1.46s
13.71m
0
10
8
1.46s
11.04m
0
10
6
1.45s
8.33m
0
10
4
1.45s
5.59m
0
10
2
1.45s
2.81m
0
10
0
1.45s
0m
Use Equation 3a from the theory section to calculate the time of flight:
t = 1.43 s
Compare the time of flight values from table 1 (experimental values) with the calculated time of
flight (theoretical value) by calculating the
percent error
.
Time of Flight Comparison from Table 1:
Initial Velocity from Table 1
(m/s)
Time of Flight from Table 1
(s)
Percent Error
(%)
10
1.46s
2.24%
20
1.48s
3.64%
0
1.45s
1.54%
Use equation 2 to calculate horizontal range for the initial velocity of 20 m/s
D
X =
28.56 m.
Get the experimental horizontal range for initial velocity of 20 m/s from Table 1:
28.56 m.
Calculate the percent error of the experimental with respect to the calculated range:
% error 7.28%
CONCLUSION
(Part I)
Explain your results.
Was the Time of Flight different for different initial speeds? Why or why not?
-
The time of flight of a projectile motion is the time form when the object is projected to
the time it reaches the surface, so T depends on the initial velocity.
How well did your predicted range compare to the actual range? If air resistance is removed,
what effect will it have on the range of the projectile?
-
The range of motion is fixed by the condition y20, using this we can rearrange the
parabolic motion equation to find the range of motion.
Describe the acceleration vector of the object during flight. You can view the acceleration vector
by checking the “Acceleration Vectors” option on the simulation.
-
If the air resistance is removed, there will be no external force acting on the body in a
horizontal direction, only force acting as gravity which is vertical. Air resistance
decreases the horizontal content of the projectile through the effect of the air
resistance. So, by removing the air resistance the range of the projectile increases.
How does the acceleration vector change when air resistance is removed?
-
Acceleration vector is the change in velocity either the magnitude of the velocity or the
direction of the velocity. In projectile motion the horizontal velocity of a projectile is
consistent. There is a vertical acceleration caused by gravity.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
Solve numbers 1-3 with a full solution. 1. Compare the momentum of a 2000kg van moving at 30 m/s with a 5000kg truck moving at 12 m/s. 2. A 300 N force applied to an object for 10s. What is the impulse of the object?3. What is the momentum of a 1000kg car moves at 20 m/s?
arrow_forward
1. In determining the magnitude of the initial velocity of the ballistic pendulum projectile,
what conservation laws are involved and in which parts of the procedure?
2. Why is it justified to say that the momentum in the horizontal direction is conserved over
the collision interval? Is momentum conserved before and after the collision? Explain.
3. Why are the heights measured to the center of mass of the pendulum-ball system?
7. For a given initial velocity, how does the range of a projectile vary with the angle of
projection 0?
arrow_forward
Directions: Select whether the statement is true of false. No need to explain your answer, just say whether it is true or false.
3. Collision conserved momentum.4. The total time (t’) of flight is simply double the time it takes for the projectile to rise.5. Perfectly inelastic collision is described by maximum lost in kinetic energy.6. Elastic collision happens when 2 objects stick together after collision.7. Elastic collision conserved kinetic energy.8. The time it takes to rise to its highest point is longer than the time it takes to fall. 9. Kinetic energy is conserved in all kinds of collision.10. The horizontal distance known as the range, R of the projectile is the ratio of the horizontal velocity and the total time of flight.
arrow_forward
1. What are the equations for linear momentump and kinetic energy K? Please define the variables.
2. Please define concisely and in your own words the concept of conservation. Describe conservation of momentum and kinetic energy.
3. Briefly describe the difference between elastic and inelastic collisions and give an example of each. Describe these collisions in terms of the kinetic energy and
momentum.
4. A moving object collides with and sticks to a stationary object. Do the combined objects move slower, faster or at the same speed as the original moving object?
5. What is the expected value of the ratio of the final and initial momenta, pf/p; ?
arrow_forward
FIND THE FOLLOWING, BOX THE FINAL ANSWER (USE THE LONG AND DETAILED METHOD)'
1. DETERMINE THE X-COMPONENT OF THE RESULTANT.
2. DETERMINE THE Y-COMPONENT OF THE RESULTANT.
3. DETERMINE THE Z-COMPONENT OF THE RESULTANT.
arrow_forward
What is tf?
I need help please
arrow_forward
Table 1.
taverage
(s)
tåverage
(s)
time of free
h=-y
(cm)
falling
t2 (s)
0.14
t1 (s)
10
0.14
20
0.16
0.15
30
0.19
0.18
1st
40
0.2
0.22
Ball
50
0.24
0.25
60
0.3
0.31
70
0.34
0.36
10
0.13
0.11
20
0.15
0.15
2nd
30
0.18
0.18
Ball
40
0.22
0.21
50
0.25
0.24
60
0.29
0.31
70
0.35
0.37
arrow_forward
I
PRELIMINARY QUESTIONS
1. One of the timing devices Galileo used was his pulse. Drop a rubber ball from a height of
about 2 m and try to determine how many pulse beats elapsed before it hits the ground. What
was the timing problem that Galileo encountered?
2. Now measure the time it takes for the rubber ball to fall 2 m, using a watch or clock with a
second hand or seconds display. Did the results improve substantially?
3. Roll the hard ball down an incline that makes an angle of about 10° with the horizontal. First
use your pulse and then your watch or clock to measure the time of descent.
4. Do you think that during Galileo's day it was possible to get useful data for any of these
experiments? Why?
arrow_forward
2. Consider the following recursive formula for the velocity of freefalling
parachute
Drag coefficient is variable.
Considering given constants, and the values in the table, fill the missing
entries. Show your calculation steps.
v(ti+1)= v(t₁) + (g-v(ti)²) (t₁+1 - ti)
M [kg]
g [m/sec²]
At [sec]
Initial velocity [m/sec]
Time
[sec]
0
0.5
1
1.5
2
Velocity
[m/sec]
0.000
8.112
7.259
80
9.81
0.5
0
Drag
coefficient
[kg/m]
0.25
15
(Ca/m)*v²
[m/sec²]
0.000
0.075
13.131
11.515
9.880
dv/dt
[m/sec²]
9.8100
9.7348
-3.3212
-1.7052
-0.0705
Av
[m/sec]
4.905
.867
-1.661
-0.853
-0.035
arrow_forward
Aswer the following problem.
arrow_forward
Assessment TASK:
Dear learners,
Choose one of the global issues or problems related to the topics that we have studied in which
physics is applied and used to address this problem or global issue and the Physics implications to solve
this problem or issue, to work on and submit before (Deadline: Wed., MAY 15th, 2024).
These are some suggested topics, issues, problems or you may choose your own topic after your teacher's
approval:
1. Projectile Motion Simulation: Create a computer simulation to model the trajectory of a
projectile launched at different angles and velocities. Analyze how changes in initial
conditions affect the projectile's range, height, and time of flight.
2. Relative Motion in Sports: Investigate how relative motion concepts apply to various
sports. Analyze scenarios such as a soccer player kicking a ball, a basketball player shooting a
free throw, or a sprinter running around a curved track.
3. Projectile Motion in Nature: Study examples of projectile motion in…
arrow_forward
Can this be explained with a lot of detail in order to understand.
arrow_forward
1. If the initial velocity of a projectile is given by the equation
v. = R,
2h
find the initial velocity given the following data, the range R = 1.5m +0.1m,
the gravitational acceleration is a constant g = 9.8m/s², and the height of the
launch was h = 1m±0.01m. Show all of your work to find the partial derivatives
and uncertainty.
%3D
arrow_forward
Can you please answer number 5 and all of the sub problems and show all of the steps
arrow_forward
Needs Complete handwritten solution with 100 % accuracy. Don't use chat gpt or ai i definitely upvote you be careful Downvote for ai or chat gpt answer.
arrow_forward
NEED EXPLANATION
arrow_forward
Procedures:
1) Open ophysics or copy and paste the link above to access the simulation directly.
2) Check if you are on the Kinematics Tab and under it if Vector Components is
selected.
+ + c ophysics.com/k3.html
O Facebook - Log in a O Mesenger M Gmai Sid LMS + DISU-D College/s Comvert POF to Wa. O Carite Sate LUnivers. E scC-SH5-WFHAR-A E Grade 12 Daly Ate.
oPhysics: Interactive Physics Simulations
If otherwise, click
Home
Kinematics
Forces
Conservation
Weves
Light
EAM
Rotation
Fluids
Modern
Drawing Tools
Fun Stuf
Vector Addion
the aforementioned
Vector Addition and Subtraction
Vector wr Componanta
tabs
Vector Addition and Subtraction
Practice
Uniform Acceleration in One
Demension: Motion Graphs
-70.5
Position, Velocity, and
Acceleration vs. Time Graphs
Kinematics Graphs: Adjust the
Acceleration
10 Kinematics: elocity vs. Time
Graph
Uniform Acceleration in One
Dimension
Kinematics in One Dimension
Two Object System
Projectile Motion
Exploring Projectile Motion
Concepts
A,97.1…
arrow_forward
The ship travels at a constant speed of vz = 20 m/s and the
wind is blowing at a speed of vu = 10 m/s, as shown.
(Figure 1)
Part A
Determine the direction of the horizontal component of velocity of the smoke coming from the smoke stack as it appears to a passenger on the
ship.
Express your answer with the appropriate units.
H HẢ
?
0 = 74.02
counterclockwise from the negative x-direction
Submit
Previous Answers Request Answer
Figure
X Incorrect; Try Again; 3 attempts remaining
Part B
v, = 20 m/s
30
45°
Determine the magnitude of the horizontal component of velocity of the smoke coming from the smoke stack as it appears to a passenger on the
ship.
Uw= 10 m/s
Express your answer with the appropriate units.
v = 19,9 m
S
Submit
Previous Answers
v Correct
P Pearson
arrow_forward
The 6-Mg bus B is traveling to the right at vg= 17 m/s.
Meanwhile a 2-Mg car A is traveling at 4-14 m/s to
the right the Vehicles crash and become entangled.
Assume that the vehicles are free to roll during collision
(Eigure 1)
Figure
1 of 1
Part A
Determine their common velocity just after the collision.
Express your answer to three significant figures and include the appropriate units.
Value
Submit
Provide Feedback
Request Answer
Units
Next >
arrow_forward
i need graph values of given points and slope graph on graph paper
The dot spacing given for figure 1 will be used as 3.4. There are 6 points in total. The distance between them is 3.4.
arrow_forward
You stand on the top of a tall building and throw a baseball directly downwards. When the baseball leaves your hand, it has a speed of 6 m/s. (Assume there is no air resistance for this problem)
a. Four seconds after you throw it, what is the acceleration of the baseball? Show your work and explain your steps.
b. Four seconds after you throw it, what is the velocity of the baseball? Show your work and explain your steps.
arrow_forward
Fuqua
X F 12PM SPAN 101 Instructions to X
www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-lgNslkr7j8P3jH-IBjuJnuCDtT6kRBabGFF
MATH AND PHYSICS
Solving an equation of the form logba = c
Solve for X.
logx
1
100
Simplify your answer as much as possible.
X =
=0
= -2
log
00
VHL Central | Code Activatio
X
Olog O
No
solution
arrow_forward
Numerical Problems Based on Momentum
Type I. Calculation of Momentum
Example 1. What will be the momentum of a stone having mass of 10 kg when it
is thrown with a velocity of 2 m/s ?
arrow_forward
Part A: Determine velocity of A after collision.
Express your answer in terms of v. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left.
Part B:
Determine velocity of B after collision.
Express your answer in terms of v. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left
Part C:
Determine velocity of C after collision.
Express your answer in terms of v. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left
Part D:
Determine velocity of D after collision.
Express your answer in terms of v. Enter positive value if the velocity is directed to the right and negative value if the velocity is directed to the left.
arrow_forward
Needs Complete typed solution with 100 % accuracy.
arrow_forward
round of to 4 decimal places
arrow_forward
Use the "Measurement and Uncertainty" document to help with the following questions.
2. You made the three measurements of the velocity of a toy car shown below. What would
you report as the average for these three velocities? Be sure to include the average
deviation as your uncertainty and round properly.
0.2876 m/s 0.2356 m/s. 0.2584 m/s
arrow_forward
66/View
M Recibidos (1,308) -.
M Inbox (29) - kriver1...
OCengageBrain - Log...
Webex Mat 272
Citri
Objective
W
(2)
In this experiment you will calculate the power you
develop when climbing a flight of stairs.
The SI unit of power is a watt (W), which is equivalent
to a J/s.
Apparatus
When James Watt invented his steam engine, he was
asked how many horses the engine could replace. To
find out, he built a rope-and-pulley device with which
he could measure the time it took a horse to lift var-
ious weights.
Stairs, Stopwatch, Meter stick.
Theory
Consider the (rather crude) person climbing a flight Watt defined horsepower as the power a horse can
produce steadily for a sustained period of time. The
SI equivalent of one horsepower is 746W.
of stairs as shown below.
Procedure
1. Record your weight in lb on the Data Sheet; ap-
proximate if you do not know. Convert this to
N.
2. Take a stopwatch and meter stick and locate
Some stairs that can be used for the experiment.
You want to climb at…
arrow_forward
OBJECTIVES
In this summative experiment, you are expected to...
prove and cite, by means of observations made on each simulation or activity, the concepts and principles underlying the interactive world of matter and the effects of forces and dynamics;
integrate the concepts of the properties of matter that involve intermolecular forces as physical characteristics of a physical world that we usually apply in everyday life situations;
acknowledge and appreciate the role of Physics in maximizing human productivity by solving problems we encounter everyday or minimizing the load of otherwise heavy tasks.
Materials: Task 2 --Hose with running water
Task 2 Got Pressured to Clean!
At 1:30 pm, lunch time was already over. It is a common activity in Japan schools to clean up before dismissal. She was stationed in the comfort room for today. She started to wipe the sink first.
Afterwards, she decided to proceed with the floor on which, much to her dismay, she found what appeared to be…
arrow_forward
please help me
arrow_forward
Instructions
Timed Test
This test has a time limit of 30 minutes.This test will save and submit autornatically whe
Wamings appear when half the time, 5 minutes, 1 minute, and 30 seconds remain.
Multiple Attempts Not allowed. This test can only be taken once.
Force Completion This test can be saved and resumed at any point until time has expired. The timer will cc
Remaining Time: 20 minutes, 53 seconds.
A Question Completion Status:
1
4.
A Moving to another question will save this response.
Question 2
"If the voltage is increased, then the electrical energy will be (keeping Resistance and time duration fixed)"
O Increased
O Decreased
O Same
O None of these
A Moving to another question will save this response.
Take Test: FL21_Phy.
FUJITSU
F6
F7
F8
F9
F10
F11
F12
Prt Scr
Sys Rq
ECO
&
6.
7
V
9
Y!
arrow_forward
Part 1
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Related Questions
- Solve numbers 1-3 with a full solution. 1. Compare the momentum of a 2000kg van moving at 30 m/s with a 5000kg truck moving at 12 m/s. 2. A 300 N force applied to an object for 10s. What is the impulse of the object?3. What is the momentum of a 1000kg car moves at 20 m/s?arrow_forward1. In determining the magnitude of the initial velocity of the ballistic pendulum projectile, what conservation laws are involved and in which parts of the procedure? 2. Why is it justified to say that the momentum in the horizontal direction is conserved over the collision interval? Is momentum conserved before and after the collision? Explain. 3. Why are the heights measured to the center of mass of the pendulum-ball system? 7. For a given initial velocity, how does the range of a projectile vary with the angle of projection 0?arrow_forwardDirections: Select whether the statement is true of false. No need to explain your answer, just say whether it is true or false. 3. Collision conserved momentum.4. The total time (t’) of flight is simply double the time it takes for the projectile to rise.5. Perfectly inelastic collision is described by maximum lost in kinetic energy.6. Elastic collision happens when 2 objects stick together after collision.7. Elastic collision conserved kinetic energy.8. The time it takes to rise to its highest point is longer than the time it takes to fall. 9. Kinetic energy is conserved in all kinds of collision.10. The horizontal distance known as the range, R of the projectile is the ratio of the horizontal velocity and the total time of flight.arrow_forward
- 1. What are the equations for linear momentump and kinetic energy K? Please define the variables. 2. Please define concisely and in your own words the concept of conservation. Describe conservation of momentum and kinetic energy. 3. Briefly describe the difference between elastic and inelastic collisions and give an example of each. Describe these collisions in terms of the kinetic energy and momentum. 4. A moving object collides with and sticks to a stationary object. Do the combined objects move slower, faster or at the same speed as the original moving object? 5. What is the expected value of the ratio of the final and initial momenta, pf/p; ?arrow_forwardFIND THE FOLLOWING, BOX THE FINAL ANSWER (USE THE LONG AND DETAILED METHOD)' 1. DETERMINE THE X-COMPONENT OF THE RESULTANT. 2. DETERMINE THE Y-COMPONENT OF THE RESULTANT. 3. DETERMINE THE Z-COMPONENT OF THE RESULTANT.arrow_forwardWhat is tf? I need help pleasearrow_forward
- Table 1. taverage (s) tåverage (s) time of free h=-y (cm) falling t2 (s) 0.14 t1 (s) 10 0.14 20 0.16 0.15 30 0.19 0.18 1st 40 0.2 0.22 Ball 50 0.24 0.25 60 0.3 0.31 70 0.34 0.36 10 0.13 0.11 20 0.15 0.15 2nd 30 0.18 0.18 Ball 40 0.22 0.21 50 0.25 0.24 60 0.29 0.31 70 0.35 0.37arrow_forwardI PRELIMINARY QUESTIONS 1. One of the timing devices Galileo used was his pulse. Drop a rubber ball from a height of about 2 m and try to determine how many pulse beats elapsed before it hits the ground. What was the timing problem that Galileo encountered? 2. Now measure the time it takes for the rubber ball to fall 2 m, using a watch or clock with a second hand or seconds display. Did the results improve substantially? 3. Roll the hard ball down an incline that makes an angle of about 10° with the horizontal. First use your pulse and then your watch or clock to measure the time of descent. 4. Do you think that during Galileo's day it was possible to get useful data for any of these experiments? Why?arrow_forward2. Consider the following recursive formula for the velocity of freefalling parachute Drag coefficient is variable. Considering given constants, and the values in the table, fill the missing entries. Show your calculation steps. v(ti+1)= v(t₁) + (g-v(ti)²) (t₁+1 - ti) M [kg] g [m/sec²] At [sec] Initial velocity [m/sec] Time [sec] 0 0.5 1 1.5 2 Velocity [m/sec] 0.000 8.112 7.259 80 9.81 0.5 0 Drag coefficient [kg/m] 0.25 15 (Ca/m)*v² [m/sec²] 0.000 0.075 13.131 11.515 9.880 dv/dt [m/sec²] 9.8100 9.7348 -3.3212 -1.7052 -0.0705 Av [m/sec] 4.905 .867 -1.661 -0.853 -0.035arrow_forward
- Aswer the following problem.arrow_forwardAssessment TASK: Dear learners, Choose one of the global issues or problems related to the topics that we have studied in which physics is applied and used to address this problem or global issue and the Physics implications to solve this problem or issue, to work on and submit before (Deadline: Wed., MAY 15th, 2024). These are some suggested topics, issues, problems or you may choose your own topic after your teacher's approval: 1. Projectile Motion Simulation: Create a computer simulation to model the trajectory of a projectile launched at different angles and velocities. Analyze how changes in initial conditions affect the projectile's range, height, and time of flight. 2. Relative Motion in Sports: Investigate how relative motion concepts apply to various sports. Analyze scenarios such as a soccer player kicking a ball, a basketball player shooting a free throw, or a sprinter running around a curved track. 3. Projectile Motion in Nature: Study examples of projectile motion in…arrow_forwardCan this be explained with a lot of detail in order to understand.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON