'''Claimed by Miriam Morris for Fall 2019'''

==The Main Idea==
VPython is an extension of the Python programming language that contains a 3D graphics module called Visual, which allows users to create simple simulations of physics problems. Its primary use is for educational purposes, although it has been used in research before in the past. Although it is slightly different from the actual Python program, it is similar enough for the purpose of this class. Most of the labs done this year will be done using the vPython program.

==Downloading vPython==
In all cases you will need to have Python 2.7.9 installed. Future versions may also work, but be warned that it may cause VPython to behave erratically.

[http://vpython.org/contents/download_windows.html For Windows]

[http://vpython.org/contents/download_mac.html For Mac]

[http://vpython.org/contents/download_linux.html For Linux]

Note for Linux: You can only install Classic VPython, which is no longer supported and may be missing some features and bug fixes that are present in the current version of VPython.

Alternatively, you can use GlowScript, a virtual environment that allows you to execute VPython code in your browser. You can create an account at [http://www.glowscript.org/ http://www.glowscript.org/]. Although this is useful, keep in mind that not all labs can be completed through GlowScript.

=Python Basics=

==Variables==

A variable is an item within your code that has information stored in it. This information can be a number, a string of letters, or anything really. 
Variables are identified by a name. The names of your variables should be simple, but logical. Avoid names that include spaces or dots, because Python does not like this syntax. Rather, it is best to separate two words in a variable name by capitalizing the second word, such as “myVariable”, or an underscore, such as “my_variable”. 
Storing items as a variable allows for easy access when they are needed later in your program. 
One last thing that is important to note is that you can reassign variables. For example, the code below is completely valid. 
x = 5
x = x + 2
When this code is finished running, x will equal 7. Although this is counterintuitive at first, it’s easy to get used to.

==Comments==

Comments are useful when you want to include a note or a quick explanation in your code that will make it easier to understand later. Comments are sections of code that the computer will skip in execution, so it will not actually be executed when your program runs. There are two types of comments that Python uses, single line comments and multi-line comments.

'''Single Line Comments'''

To create a single line comment (the most common comments in Python) type a hash character (#) at the beginning of anything you would like to comment out. Note, when "#" is in a line of code, the rest of the code following the # will be ignored by the computer when your code runs.

# This is a comment.

a = 4 # and so is this

# b = 4 # and so is this entire line, be careful!

Here is an example of comment use that you might see in a lab:

myTemp = 4 #This is the temperature in Celsius.

'''Multi-line Comments'''

To create a multi-line comment (usually reserved for longer explanations or instructions that cannot fit on one line) type three opening and closing quotation marks, like so:

""" this
is
a
multi-line
comment
example """

""" this is also an example, but on only one line"""

Be careful! Unlike the single line comments, multi-line comments require a start and a stop (if you forget to close your comment or forget the third quotation mark then that will cause an error in your code).

'''Main Uses'''

- Longer variable explanation (units, where the data comes from, etc)

- Comment out code (to save for later, instead of deleting it)

- Instructions

- Notes to self

==Math Operations==

Math operations are simple in Python. The simple operations, as you might expect, are as follows:
#Addition:
1+2 #This will equal 3.

#Subtraction:
2-1 #This will equal 1.

#Multiplication:
2*1 #This will equal 2.

#Division:
2/1 #This will equal 2.

There are other operations, that you may want to pay closer attention to.

#Exponentiation:
2**2 #This will equal 4.

#Square root:
sqrt(4) #This will equal 2.

#Remainder:
5%4 #This will equal 1.

==Print Function==

In order to see any of the information we’ve listed above, you have to actually print it. For example, the code below will run but will not provide you with an output.
x = 1 + 1
Instead, you have to print this information in order to see the answer when the code is finished running. You can do this in two ways. First, you can directly imbed the code in your print statement.
print(1 + 1)
Or, you can create the variable and then print the variable.
x = 1 + 1
print(x)
Either one is valid!
If you would like to print something other than a variable, include quotations around it. For example, if you wanted to print the typical “Hello, world!”, you would code:
print(“Hello, world!”)
The quotations are the important takeaway here.

==Conditional==
A conditional involves an “if” statement. “If this thing is true, do this”, for example. Conditionals are useful in physics if you want to perform different things on a variable, depending on certain conditions.
if x > 1:
print(“x is greater than 1”)
elif x = 1:
print(“x is equal to 1”)
else:
print(“x is less than 1”)
Above is the typical syntax you would see for a conditional. Notice the conditional starts with an if statement, followed by a colon. The next line is indented, and then tells that if statement what to do if the if statement is true. If it is not true, it moves on to the elif statement. Elif statements are used after if statements, but when there is still an if statement involved. There can be endless elif statements. Notice this uses the same syntax as the regular if statement. Lastly, if neither the if nor the elif statement(s) are true, there is an else statement. This will print if nothing above was true.

==Loop==
A loop iterates through each item in a list or range. Loops can be useful in physics because they are vital to update equations. Loops will automatically update the information for you, rather than having to write out the long iterative process yourself. Below are examples of for loops and while loops.
for i in range(1,11):
print(i)
The statement above will print:
1
2
3
4
5
6
7
8
9
10
Notice it does not print 11. When inputting a range in Python, the last number is not included. Notice how the for loop states “for”, and then a variable, and then a range, and then a colon. This is then followed by a statement that tells what to do for each iteration in the loop. Notice it is indented!
while i > 1:
print(i)
This is an example of a while loop. While i is greater than 1, the code will print i. The syntax is similar to the for loop.

==Equal Signs==

“=” and “==” mean two different things in Python. When setting a variable equal to something, you use one equal sign:
x = 2
However, when you are using it in something like an if statement, use two equal signs:
if x == 2:
print(“x equals 2)

=VPython Basics=

In this section we will analyze some of the objects utilized by VPython. Each object is more or less self-explanatory with equally clear fields within.

==Starting Your VPython Program==
To begin with, note that every VPython program must begin with these two lines of code:
from__future__ import division
from visual import*

The scene, or visual where you see your code occur, has a width and a height. You can alter them, as seen below.
scene.width = 1024
scene.height = 760

==Vectors==
You can access each component of the vector with pos.x, pos.y, or pos.z, depending on which component you want. You access an object's field with a period following the variable name.
pos = vector(1, 2, 3)
xComponent = pos.x #This value would be 1
yComponent = pos.y #This value would be 2
zComponent = pos.z. #This value would be 3

You can add two or more vectors together and you can multiply a vector by a scalar. Keep in mind you cannot add a vector and a scalar.
#Adding
A = vector(1, 2, 3)
B = vector(4, 5, 6)
C = A + B # The value of C is now (5, 7, 9)
# Multiplying
D = 5 * C. # The value of D is now (25, 35, 45)

To get the magnitude of or to normalize a vector, use the appropriate function.
initialPos = vector(10, 3, 0)
finalPos = vector(30, 15, 0)
deltaR = finalPos - initialPos # -> vector(20, 12, 0)
rMag = mag(finalPos)
rHat = norm(finalPos)
errorDemo = magR + finalPos # -> error; causes your program to crash

==Shapes==

There are a number of different shapes you can create for visual reference in the vPython program. These will be used quite frequently in lab to observe things like momentum, force, etc. If you were to make, say, a ball, you would want to draw a sphere. It has a position field, a radius field, and a color field. When creating a new instance of an object, each field is comma separated. You access each field the same way as we did with the position vector.
ball = sphere(pos = vector(10, 10, 10), radius = 9e2, color = color.red)
ballColor = ball.color
ballPos = ball.pos
ballRadius = ball.radius

You can draw arrows. These also have a color and position field, but instead of a radius, they have an axis that determines their length. These arrows can be used to represent the magnitude of the force or the momentum or anything else the lab asks you to make.
velocityArrow = arrow(color = color.blue, pos = vector(-10, -10, -10), axis = velocity * vScale)

There are also boxes. They have a position vector and a size vector.
myBox = box(pos = vector(50, 50, 50), size = vector(20, 15, 12))

You can draw helixes, which are useful for depicting springs. They have a position field, a color field, a thickness field, a radius field, and a field for the number of coils.
spring = helix(pos=ceiling.pos, color=color.cyan, thickness=.003, coils=40, radius=0.015)

==Tracing==

If you want to trace a moving object, you can have a curve follow it by adding to it every time step. This will show the entire path the object has traveled during the simulation.
posTrace = curve(color = color.yellow)
trail.append(ball.pos)

==Graphs==

You also have the option of making graphs as your program progresses; this is particularly useful for potential vs kinetic energy.
Kgraph = gcurve(color = color.cyan)
Ugraph = gcurve(color = color.yellow)
KplusUgraph = gcurve(color = color.red)
# For each time step...
Kgraph.plot(pos = (t, Kenergy))
Ugraph.plot(pos = (t, Uenergy))
KplusUgraph.plot(pos = (t, Kenergy + Uenergy))

By updating the fields of whatever objects you decide to use and by using any intermediate variables necessary, you're able to draw and compute what you'll need for this course.

Python Syntax

2019-10-22T06:42:27Z

Mmorris83:

'''Claimed by Miriam Morris for Fall 2019'''

==The Main Idea==
VPython is an extension of the Python programming language that contains a 3D graphics module called Visual, which allows users to create simple simulations of physics problems. Its primary use is for educational purposes, although it has been used in research before in the past. Although it is slightly different from the actual Python program, it is similar enough for the purpose of this class. Most of the labs done this year will be done using the vPython program.

==Downloading vPython==
In all cases you will need to have Python 2.7.9 installed. Future versions may also work, but be warned that it may cause VPython to behave erratically.

[http://vpython.org/contents/download_windows.html For Windows]

[http://vpython.org/contents/download_mac.html For Mac]

[http://vpython.org/contents/download_linux.html For Linux]

Note for Linux: You can only install Classic VPython, which is no longer supported and may be missing some features and bug fixes that are present in the current version of VPython.

Alternatively, you can use GlowScript, a virtual environment that allows you to execute VPython code in your browser. You can create an account at [http://www.glowscript.org/ http://www.glowscript.org/]. Although this is useful, keep in mind that not all labs can be completed through GlowScript.

=Python Basics=

==Variables==

A variable is an item within your code that has information stored in it. This information can be a number, a string of letters, or anything really. 
Variables are identified by a name. The names of your variables should be simple, but logical. Avoid names that include spaces or dots, because Python does not like this syntax. Rather, it is best to separate two words in a variable name by capitalizing the second word, such as “myVariable”, or an underscore, such as “my_variable”. 
Storing items as a variable allows for easy access when they are needed later in your program. 
One last thing that is important to note is that you can reassign variables. For example, the code below is completely valid. 
x = 5
x = x + 2
When this code is finished running, x will equal 7. Although this is counterintuitive at first, it’s easy to get used to.

==Comments==

Comments are useful when you want to include a note or a quick explanation in your code that will make it easier to understand later. Comments are sections of code that the computer will skip in execution, so it will not actually be executed when your program runs. There are two types of comments that Python uses, single line comments and multi-line comments.

'''Single Line Comments'''

To create a single line comment (the most common comments in Python) type a hash character (#) at the beginning of anything you would like to comment out. Note, when "#" is in a line of code, the rest of the code following the # will be ignored by the computer when your code runs.

# This is a comment.

a = 4 # and so is this

# b = 4 # and so is this entire line, be careful!

Here is an example of comment use that you might see in a lab:

myTemp = 4 #This is the temperature in Celsius.

'''Multi-line Comments'''

To create a multi-line comment (usually reserved for longer explanations or instructions that cannot fit on one line) type three opening and closing quotation marks, like so:

""" this
is
a
multi-line
comment
example """

""" this is also an example, but on only one line"""

Be careful! Unlike the single line comments, multi-line comments require a start and a stop (if you forget to close your comment or forget the third quotation mark then that will cause an error in your code).

'''Main Uses'''

- Longer variable explanation (units, where the data comes from, etc)

- Comment out code (to save for later, instead of deleting it)

- Instructions

- Notes to self

==Math Operations==

Math operations are simple in Python. The simple operations, as you might expect, are as follows:
#Addition:
1+2 #This will equal 3.
#Subtraction:
2-1 #This will equal 1.
#Multiplication:
2*1 #This will equal 2.
#Division:
2/1 #This will equal 2.
There are other operations, that you may want to pay closer attention to.
#Exponentiation:
2**2 #This will equal 4.
#Square root:
sqrt(4) #This will equal 2.
#Remainder:
5%4 #This will equal 1.

==Print Function==

In order to see any of the information we’ve listed above, you have to actually print it. For example, the code below will run but will not provide you with an output.
x = 1 + 1
Instead, you have to print this information in order to see the answer when the code is finished running. You can do this in two ways. First, you can directly imbed the code in your print statement.
print(1 + 1)
Or, you can create the variable and then print the variable.
x = 1 + 1
print(x)
Either one is valid!
If you would like to print something other than a variable, include quotations around it. For example, if you wanted to print the typical “Hello, world!”, you would code:
print(“Hello, world!”)
The quotations are the important takeaway here.

==Conditional==
A conditional involves an “if” statement. “If this thing is true, do this”, for example. Conditionals are useful in physics if you want to perform different things on a variable, depending on certain conditions.
if x > 1:
print(“x is greater than 1”)
elif x = 1:
print(“x is equal to 1”)
else:
print(“x is less than 1”)
Above is the typical syntax you would see for a conditional. Notice the conditional starts with an if statement, followed by a colon. The next line is indented, and then tells that if statement what to do if the if statement is true. If it is not true, it moves on to the elif statement. Elif statements are used after if statements, but when there is still an if statement involved. There can be endless elif statements. Notice this uses the same syntax as the regular if statement. Lastly, if neither the if nor the elif statement(s) are true, there is an else statement. This will print if nothing above was true.

==Loop==
A loop iterates through each item in a list or range. Loops can be useful in physics because they are vital to update equations. Loops will automatically update the information for you, rather than having to write out the long iterative process yourself. Below are examples of for loops and while loops.
for i in range(1,11):
print(i)
The statement above will print:
1
2
3
4
5
6
7
8
9
10
Notice it does not print 11. When inputting a range in Python, the last number is not included. Notice how the for loop states “for”, and then a variable, and then a range, and then a colon. This is then followed by a statement that tells what to do for each iteration in the loop. Notice it is indented!
while i > 1:
print(i)
This is an example of a while loop. While i is greater than 1, the code will print i. The syntax is similar to the for loop.

==Equal Signs==

“=” and “==” mean two different things in Python. When setting a variable equal to something, you use one equal sign:
x = 2
However, when you are using it in something like an if statement, use two equal signs:
if x == 2:
print(“x equals 2)

=VPython Basics=

In this section we will analyze some of the objects utilized by VPython. Each object is more or less self-explanatory with equally clear fields within.

==Starting Your VPython Program==
To begin with, note that every VPython program must begin with these two lines of code:
from__future__ import division
from visual import*

The scene, or visual where you see your code occur, has a width and a height. You can alter them, as seen below.
scene.width = 1024
scene.height = 760

==Vectors==
You can access each component of the vector with pos.x, pos.y, or pos.z, depending on which component you want. You access an object's field with a period following the variable name.
pos = vector(1, 2, 3)
xComponent = pos.x #This value would be 1
yComponent = pos.y #This value would be 2
zComponent = pos.z. #This value would be 3

You can add two or more vectors together and you can multiply a vector by a scalar. Keep in mind you cannot add a vector and a scalar.
#Adding
A = vector(1, 2, 3)
B = vector(4, 5, 6)
C = A + B # The value of C is now (5, 7, 9)
# Multiplying
D = 5 * C. # The value of D is now (25, 35, 45)

To get the magnitude of or to normalize a vector, use the appropriate function.
initialPos = vector(10, 3, 0)
finalPos = vector(30, 15, 0)
deltaR = finalPos - initialPos # -> vector(20, 12, 0)
rMag = mag(finalPos)
rHat = norm(finalPos)
errorDemo = magR + finalPos # -> error; causes your program to crash

==Shapes==

There are a number of different shapes you can create for visual reference in the vPython program. These will be used quite frequently in lab to observe things like momentum, force, etc. If you were to make, say, a ball, you would want to draw a sphere. It has a position field, a radius field, and a color field. When creating a new instance of an object, each field is comma separated. You access each field the same way as we did with the position vector.
ball = sphere(pos = vector(10, 10, 10), radius = 9e2, color = color.red)
ballColor = ball.color
ballPos = ball.pos
ballRadius = ball.radius

You can draw arrows. These also have a color and position field, but instead of a radius, they have an axis that determines their length. These arrows can be used to represent the magnitude of the force or the momentum or anything else the lab asks you to make.
velocityArrow = arrow(color = color.blue, pos = vector(-10, -10, -10), axis = velocity * vScale)

There are also boxes. They have a position vector and a size vector.
myBox = box(pos = vector(50, 50, 50), size = vector(20, 15, 12))

You can draw helixes, which are useful for depicting springs. They have a position field, a color field, a thickness field, a radius field, and a field for the number of coils.
spring = helix(pos=ceiling.pos, color=color.cyan, thickness=.003, coils=40, radius=0.015)

==Tracing==

If you want to trace a moving object, you can have a curve follow it by adding to it every time step. This will show the entire path the object has traveled during the simulation.
posTrace = curve(color = color.yellow)
trail.append(ball.pos)

==Graphs==

You also have the option of making graphs as your program progresses; this is particularly useful for potential vs kinetic energy.
Kgraph = gcurve(color = color.cyan)
Ugraph = gcurve(color = color.yellow)
KplusUgraph = gcurve(color = color.red)
# For each time step...
Kgraph.plot(pos = (t, Kenergy))
Ugraph.plot(pos = (t, Uenergy))
KplusUgraph.plot(pos = (t, Kenergy + Uenergy))

By updating the fields of whatever objects you decide to use and by using any intermediate variables necessary, you're able to draw and compute what you'll need for this course.

Python Syntax

2019-10-22T06:41:51Z

Mmorris83: /* Comments */

'''Claimed by Morgan Powers for Fall 2018'''

==The Main Idea==
VPython is an extension of the Python programming language that contains a 3D graphics module called Visual, which allows users to create simple simulations of physics problems. Its primary use is for educational purposes, although it has been used in research before in the past. Although it is slightly different from the actual Python program, it is similar enough for the purpose of this class. Most of the labs done this year will be done using the vPython program.

==Downloading vPython==
In all cases you will need to have Python 2.7.9 installed. Future versions may also work, but be warned that it may cause VPython to behave erratically.

[http://vpython.org/contents/download_windows.html For Windows]

[http://vpython.org/contents/download_mac.html For Mac]

[http://vpython.org/contents/download_linux.html For Linux]

Note for Linux: You can only install Classic VPython, which is no longer supported and may be missing some features and bug fixes that are present in the current version of VPython.

Alternatively, you can use GlowScript, a virtual environment that allows you to execute VPython code in your browser. You can create an account at [http://www.glowscript.org/ http://www.glowscript.org/]. Although this is useful, keep in mind that not all labs can be completed through GlowScript.

=Python Basics=

==Variables==

A variable is an item within your code that has information stored in it. This information can be a number, a string of letters, or anything really. 
Variables are identified by a name. The names of your variables should be simple, but logical. Avoid names that include spaces or dots, because Python does not like this syntax. Rather, it is best to separate two words in a variable name by capitalizing the second word, such as “myVariable”, or an underscore, such as “my_variable”. 
Storing items as a variable allows for easy access when they are needed later in your program. 
One last thing that is important to note is that you can reassign variables. For example, the code below is completely valid. 
x = 5
x = x + 2
When this code is finished running, x will equal 7. Although this is counterintuitive at first, it’s easy to get used to.

==Comments==

Comments are useful when you want to include a note or a quick explanation in your code that will make it easier to understand later. Comments are sections of code that the computer will skip in execution, so it will not actually be executed when your program runs. There are two types of comments that Python uses, single line comments and multi-line comments.

'''Single Line Comments'''

To create a single line comment (the most common comments in Python) type a hash character (#) at the beginning of anything you would like to comment out. Note, when "#" is in a line of code, the rest of the code following the # will be ignored by the computer when your code runs.

# This is a comment.

a = 4 # and so is this

# b = 4 # and so is this entire line, be careful!

Here is an example of comment use that you might see in a lab:

myTemp = 4 #This is the temperature in Celsius.

'''Multi-line Comments'''

To create a multi-line comment (usually reserved for longer explanations or instructions that cannot fit on one line) type three opening and closing quotation marks, like so:

""" this
is
a
multi-line
comment
example """

""" this is also an example, but on only one line"""

Be careful! Unlike the single line comments, multi-line comments require a start and a stop (if you forget to close your comment or forget the third quotation mark then that will cause an error in your code).

'''Main Uses'''

- Longer variable explanation (units, where the data comes from, etc)

- Comment out code (to save for later, instead of deleting it)

- Instructions

- Notes to self

==Math Operations==

Math operations are simple in Python. The simple operations, as you might expect, are as follows:
#Addition:
1+2 #This will equal 3.
#Subtraction:
2-1 #This will equal 1.
#Multiplication:
2*1 #This will equal 2.
#Division:
2/1 #This will equal 2.
There are other operations, that you may want to pay closer attention to.
#Exponentiation:
2**2 #This will equal 4.
#Square root:
sqrt(4) #This will equal 2.
#Remainder:
5%4 #This will equal 1.

==Print Function==

In order to see any of the information we’ve listed above, you have to actually print it. For example, the code below will run but will not provide you with an output.
x = 1 + 1
Instead, you have to print this information in order to see the answer when the code is finished running. You can do this in two ways. First, you can directly imbed the code in your print statement.
print(1 + 1)
Or, you can create the variable and then print the variable.
x = 1 + 1
print(x)
Either one is valid!
If you would like to print something other than a variable, include quotations around it. For example, if you wanted to print the typical “Hello, world!”, you would code:
print(“Hello, world!”)
The quotations are the important takeaway here.

==Conditional==
A conditional involves an “if” statement. “If this thing is true, do this”, for example. Conditionals are useful in physics if you want to perform different things on a variable, depending on certain conditions.
if x > 1:
print(“x is greater than 1”)
elif x = 1:
print(“x is equal to 1”)
else:
print(“x is less than 1”)
Above is the typical syntax you would see for a conditional. Notice the conditional starts with an if statement, followed by a colon. The next line is indented, and then tells that if statement what to do if the if statement is true. If it is not true, it moves on to the elif statement. Elif statements are used after if statements, but when there is still an if statement involved. There can be endless elif statements. Notice this uses the same syntax as the regular if statement. Lastly, if neither the if nor the elif statement(s) are true, there is an else statement. This will print if nothing above was true.

==Loop==
A loop iterates through each item in a list or range. Loops can be useful in physics because they are vital to update equations. Loops will automatically update the information for you, rather than having to write out the long iterative process yourself. Below are examples of for loops and while loops.
for i in range(1,11):
print(i)
The statement above will print:
1
2
3
4
5
6
7
8
9
10
Notice it does not print 11. When inputting a range in Python, the last number is not included. Notice how the for loop states “for”, and then a variable, and then a range, and then a colon. This is then followed by a statement that tells what to do for each iteration in the loop. Notice it is indented!
while i > 1:
print(i)
This is an example of a while loop. While i is greater than 1, the code will print i. The syntax is similar to the for loop.

==Equal Signs==

“=” and “==” mean two different things in Python. When setting a variable equal to something, you use one equal sign:
x = 2
However, when you are using it in something like an if statement, use two equal signs:
if x == 2:
print(“x equals 2)

=VPython Basics=

In this section we will analyze some of the objects utilized by VPython. Each object is more or less self-explanatory with equally clear fields within.

==Starting Your VPython Program==
To begin with, note that every VPython program must begin with these two lines of code:
from__future__ import division
from visual import*

The scene, or visual where you see your code occur, has a width and a height. You can alter them, as seen below.
scene.width = 1024
scene.height = 760

==Vectors==
You can access each component of the vector with pos.x, pos.y, or pos.z, depending on which component you want. You access an object's field with a period following the variable name.
pos = vector(1, 2, 3)
xComponent = pos.x #This value would be 1
yComponent = pos.y #This value would be 2
zComponent = pos.z. #This value would be 3

You can add two or more vectors together and you can multiply a vector by a scalar. Keep in mind you cannot add a vector and a scalar.
#Adding
A = vector(1, 2, 3)
B = vector(4, 5, 6)
C = A + B # The value of C is now (5, 7, 9)
# Multiplying
D = 5 * C. # The value of D is now (25, 35, 45)

To get the magnitude of or to normalize a vector, use the appropriate function.
initialPos = vector(10, 3, 0)
finalPos = vector(30, 15, 0)
deltaR = finalPos - initialPos # -> vector(20, 12, 0)
rMag = mag(finalPos)
rHat = norm(finalPos)
errorDemo = magR + finalPos # -> error; causes your program to crash

==Shapes==

There are a number of different shapes you can create for visual reference in the vPython program. These will be used quite frequently in lab to observe things like momentum, force, etc. If you were to make, say, a ball, you would want to draw a sphere. It has a position field, a radius field, and a color field. When creating a new instance of an object, each field is comma separated. You access each field the same way as we did with the position vector.
ball = sphere(pos = vector(10, 10, 10), radius = 9e2, color = color.red)
ballColor = ball.color
ballPos = ball.pos
ballRadius = ball.radius

You can draw arrows. These also have a color and position field, but instead of a radius, they have an axis that determines their length. These arrows can be used to represent the magnitude of the force or the momentum or anything else the lab asks you to make.
velocityArrow = arrow(color = color.blue, pos = vector(-10, -10, -10), axis = velocity * vScale)

There are also boxes. They have a position vector and a size vector.
myBox = box(pos = vector(50, 50, 50), size = vector(20, 15, 12))

You can draw helixes, which are useful for depicting springs. They have a position field, a color field, a thickness field, a radius field, and a field for the number of coils.
spring = helix(pos=ceiling.pos, color=color.cyan, thickness=.003, coils=40, radius=0.015)

==Tracing==

If you want to trace a moving object, you can have a curve follow it by adding to it every time step. This will show the entire path the object has traveled during the simulation.
posTrace = curve(color = color.yellow)
trail.append(ball.pos)

==Graphs==

You also have the option of making graphs as your program progresses; this is particularly useful for potential vs kinetic energy.
Kgraph = gcurve(color = color.cyan)
Ugraph = gcurve(color = color.yellow)
KplusUgraph = gcurve(color = color.red)
# For each time step...
Kgraph.plot(pos = (t, Kenergy))
Ugraph.plot(pos = (t, Uenergy))
KplusUgraph.plot(pos = (t, Kenergy + Uenergy))

By updating the fields of whatever objects you decide to use and by using any intermediate variables necessary, you're able to draw and compute what you'll need for this course.