Unit 1: One Dimensional Motion
Lesson 2 - Distance, displacement, and coordinate systems:
Key Terms:
Word | Defination |
---|---|
Coordinate Systems | Defines position and direction for positive and negative number |
Position | Location of an object relative to originSymbol “x“ refer to postion |
Displacement | Chnage in position of an object /\ x for displacement/\ = change |
Distance | Totale amount the object has moved Always a non-negative numberA scalar quantity with unit of distance |
Reference Frame | Point of view from which measurement can be made All frames of references are equally valid |
Equations
Formula | Symbol Meaning |
---|---|
/\x = x(f) - x(i) | /\x = displacementx(f) = final positionx(i) = inital position |
Lesson 3 - Average Velocity and Speed:
Equation
Formula | Defination of Symbols |
---|---|
| |
Key Points:
Avg. speed doesn ot equal the magnitude of avg. velocity
Speed is a scalar quantity, and avg. velocity is a vector quantity
Avg. velocity = direction and can be negative number when displacement is in negative direction
Avg. speed <del>=</del> direction; can only be positive or zero
Lesson 4 - Velocity and speed from graph
Key Terms
Instantaneous Velocity | Velocity at a given moment in timeSI units = m/s |
---|---|
Instantaneous Speed | Speed at a given moment in time Equal to the megnitude of the Intantaneous VelocitySI unites = m/s |
Equations
Formula | Defination of Symbols |
---|---|
| |
Lesson 5 - Average and instantaneous acceleration
What is velocity vs. time graph?
Veritical axis represents the velocity of the object
What does the slope represent on a velocity graph?
Slope = acceleration of the object
rise/run = v2-v1/t2-t1 = /\v / /\t
What does the aera under a velocity graph represent?
area under curve represent = displacement of object
/\x = v/\t
Key Terms
Words | Defination |
---|---|
Avg. Acceleration | Rate at which velocity changes over a specified time intervalSI = m/s^2Vector Quantity |
Instantaneous acceleration | Rate at which velocity changes at a speific intant at time SI = m/s^2Vector Quantity |
Equation
Formula | Symbol Defination |
---|---|
Lesson 6 - Motion with constant Acceleration
Key Terms
Word | Defination |
---|---|
Kinematic Variable | Variable that describes the moition of an object over time Includes displacement “/\X”time interval “t”intial velocity “Vi”final velocity “Vf”acceleration “a” |
Kinematic Formula | formula that describe the relationships between Kinematic variable when accelaration is constant |
Equations
Formula |
---|
Symbols
Assumptions
Acceleration is constant over the time interval
When using kinematic formulas
Choosing best kinematic formulas
figure out which variable you are not given & asked to find
Finsing the known variable
Somtimes a known variable will not be explicity given in a problem, but neither implied with codeword
“start from rest“ = Vi = 0
“dropped“ = Vi = 0
“Comes to a stop” = Vf = 0
g = 9.8 m/s^2 = acceleration due to gravity on all objects in free fall on Earth
Lesson 7 - Objects in freefall
Key terms:
Word | Definition |
---|---|
Acceleration due of gravity | In the absence of air resistance, all objects fall with constant acceleration “g“ toward the surface of the Earth. On the surface of Earth, defined ad g = 9.8 m/s^2 |
Annalyzing motion for objects in freefall
special cade with constant acceleration
Accelaration due to gravity is always constant and downward
True even when object thrown upward or has zero velocity
Example
A ball thrown up in the air
Ball’s velocity is initally upwards
Gravity pulls ball towards earth surface with constant acceleration ““g“
Magnitude of velocity decreases as ball approches maxximum height
At highest point
Ball velocity is zero
Magnitude of the ball increases again as it falls back to the earth surface
Lesson 2 - Distance, displacement, and coordinate systems:
Key Terms:
Word | Defination |
---|---|
Coordinate Systems | Defines position and direction for positive and negative number |
Position | Location of an object relative to originSymbol “x“ refer to postion |
Displacement | Chnage in position of an object /\ x for displacement/\ = change |
Distance | Totale amount the object has moved Always a non-negative numberA scalar quantity with unit of distance |
Reference Frame | Point of view from which measurement can be made All frames of references are equally valid |
Equations
Formula | Symbol Meaning |
---|---|
/\x = x(f) - x(i) | /\x = displacementx(f) = final positionx(i) = inital position |
Lesson 3 - Average Velocity and Speed:
Equation
Formula | Defination of Symbols |
---|---|
| |
Key Points:
Avg. speed doesn ot equal the magnitude of avg. velocity
Speed is a scalar quantity, and avg. velocity is a vector quantity
Avg. velocity = direction and can be negative number when displacement is in negative direction
Avg. speed <del>=</del> direction; can only be positive or zero
Lesson 4 - Velocity and speed from graph
Key Terms
Instantaneous Velocity | Velocity at a given moment in timeSI units = m/s |
---|---|
Instantaneous Speed | Speed at a given moment in time Equal to the megnitude of the Intantaneous VelocitySI unites = m/s |
Equations
Formula | Defination of Symbols |
---|---|
| |
Lesson 5 - Average and instantaneous acceleration
What is velocity vs. time graph?
Veritical axis represents the velocity of the object
What does the slope represent on a velocity graph?
Slope = acceleration of the object
rise/run = v2-v1/t2-t1 = /\v / /\t
What does the aera under a velocity graph represent?
area under curve represent = displacement of object
/\x = v/\t
Key Terms
Words | Defination |
---|---|
Avg. Acceleration | Rate at which velocity changes over a specified time intervalSI = m/s^2Vector Quantity |
Instantaneous acceleration | Rate at which velocity changes at a speific intant at time SI = m/s^2Vector Quantity |
Equation
Formula | Symbol Defination |
---|---|
Lesson 6 - Motion with constant Acceleration
Key Terms
Word | Defination |
---|---|
Kinematic Variable | Variable that describes the moition of an object over time Includes displacement “/\X”time interval “t”intial velocity “Vi”final velocity “Vf”acceleration “a” |
Kinematic Formula | formula that describe the relationships between Kinematic variable when accelaration is constant |
Equations
Formula |
---|
Symbols
Assumptions
Acceleration is constant over the time interval
When using kinematic formulas
Choosing best kinematic formulas
figure out which variable you are not given & asked to find
Finsing the known variable
Somtimes a known variable will not be explicity given in a problem, but neither implied with codeword
“start from rest“ = Vi = 0
“dropped“ = Vi = 0
“Comes to a stop” = Vf = 0
g = 9.8 m/s^2 = acceleration due to gravity on all objects in free fall on Earth
Lesson 7 - Objects in freefall
Key terms:
Word | Definition |
---|---|
Acceleration due of gravity | In the absence of air resistance, all objects fall with constant acceleration “g“ toward the surface of the Earth. On the surface of Earth, defined ad g = 9.8 m/s^2 |
Annalyzing motion for objects in freefall
special cade with constant acceleration
Accelaration due to gravity is always constant and downward
True even when object thrown upward or has zero velocity
Example
A ball thrown up in the air
Ball’s velocity is initally upwards
Gravity pulls ball towards earth surface with constant acceleration ““g“
Magnitude of velocity decreases as ball approches maxximum height
At highest point
Ball velocity is zero
Magnitude of the ball increases again as it falls back to the earth surface