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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

Diagram of Displacement

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

YK

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

Diagram of Displacement

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

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