Summer Course 2020

1. JOSHUA THOMPSON
Lesson 1
KINEMATICSANDFORCES

2. GOALSFORTHESEMESTER
- The course will be divided into two sections
1. Kinematics (The Physics of Motion)
2. Forces (Uses Newton’s Laws
- Algebra and a little Calculus will be used

3. FLOWOFEACHDAY
1. I will test your recall abilities (this means quiz!)
2. We will talk about a famous person in physics
- We will also look at the math that the physicist used
3. We will cover the math needed for the physics of the day
4. Cover the physics concepts and apply the math!

4. - What is a function?
- This is very important
- What is a derivative?
- What are two examples of derivative?
- What is the relationship between:
1. Position
2. Velocity
3. Acceleration
RECALLTIME
Input Function Output

5. MAKINGTHECONNECTIONS
Acceleration
Position
Speed
Take a derivative
Take a derivative Take a anti-derivative
Take a anti-derivative

6. x = t3
dx
dt
=
d
dt
(t3
)
v = 3t2
dv
dt
=
d
dt
(3t2
)
a = 2 × 3t a = 6t
x = t5
dx
dt
=
d
dt
(t5
)
v = 5t4
dv
dt
=
d
dt
(5t4
)
a = 4 × 5t3
a = 20t3

7. ∫
2tdt = t2
REMEMBER, THE DT AT THE END IS JUST SOMETHING WE PUT THERE!
IT DOESN’T REALLY DO ANYTHING.
∫
3t2
dt = t3
∫
300t299
dt = t300
ONE RULE - IF THE NUMBER IN FRONT OF
THE T IS ONE MORE THAN THE POWER
THEN - COPY AND PASTE THE NUMBER IN
FRONT OF THE T AND PASTE IT IN THE
POWER (UP TOP AND TO THE RIGHT OF
THE T)

8. - Coined the term ‘black hole’
- Pioneer of the search for a quantum
theory of gravity
- Co-author of the standard textbook
on Einstein's general theory of
relativity
- If I can't picture it, I can't understand
it
- e entered Johns Hopkins University
at the age of 16 and emerged with a
PhD in physics six years later.
JOHNWHEELER
AWESOME PHYSICIST
TIME IS WHAT PREVENTS EVERYTHING FROM HAPPENING AT
ONCE.

9. Gαβ =
8πG
c4
Tαβ
Tells space
how to curve
Distribution
of mass/
energy
C is speed of light
G is
gravitation
constant
GENERALRELATIVITY

10. MATHFORPHYSICS
- Let’s go back to talking about a function
- A function has two parts:
1. A dependent variable - Changes because of other variable!
2. An independent variable - isn’t changed by other variables!
f(x) = 2 + x
y = 2 + x
Dependent variable
Independent variable

11. LET’SDOSOMEEXAMPLES

12. KINEMATICS
- The three main variables for kinematics are:
1. Displacement - (This is kinda like distance)
2. Velocity - (When things are moving they have velocity)
3. Acceleration - (When you smell freshly baked muffins and you go
from sitting [no velocity] to 90mph [a lot of velocity])
- We will get more physics-e definitions later in this discussion

13. - All of these variables give a lot of information to an object in motion!
- For example,
- Stewy accelerated from rest to a velocity of 5 mph over a distance of 10 miles.
- This example fully describes Stewy in motion
- However, most of the time, we are not given all the information.
- Most of the time we only have a few pieces of information
KINEMATICS

14. LET’SGOTHROUGHOURVARIABLES
- Our variables are
-
-
-
-
-
- You might already know most of these!
- Displacement might sound a little weird
- Let’s look at some examples of displacement
d = displacement
vi = initial velocity
vf = final velocity
a = acceleration
t = time

15. THEBIGFOUR!
d = vit +
1
2
at2
v2
f = v2
i + 2ad
vf = vi + at
d =
vi + vf
2
t

16. - Each of these four equations describes the mathematical relationship between the
variables of motion
- How do you begin to solve these types of problems?
1. Draw a picture of the problem
2. Make a list of all the variables you do know
3. Choose the equation that has the variables you know
4. Put in the numbers and calculate!
- One important thing that many students miss is units.
- Let’s take a second to think about units and conversions
THEBIGFOUREQUATIONS

17. CANIMULTIPLY:
?3 hrs × 3 seconds
YOU CAN NOT DO THIS. WE NEED TO CONVERT TO THE SAME UNITS.
1 hr = 60 min
1 min = 60 sec
LET’S LOOK AT HOW TO DO THIS!

18. EXAMPLE
Blimpy is driving his car for . He starts driving at . He
speeds up with at a rate of .
What is Blimpy’s final velocity?
2 hours 11 mph
10 mph2

19. EXAMPLE
A baseball player runs from third base to home plate. He starts from
rest at third base. He accelerates at a rate of . It takes him
to make it to home plate.
How far was third base from the home plate?
7 mph2
10 seconds

20. EXAMPLE
A baseball player runs from third base to home plate. He starts from
rest at third base. His final velocity is . It takes him
to make it to home plate.
How far was third base from the home plate?
12 mph 10 seconds