Phys 11: chap 2, Pg 3 phy21bio/Presentations/CH1.pdf 3 Phys 11: chap 2, Pg 5 Phys 11: chap 2, Pg 6...

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Transcript of Phys 11: chap 2, Pg 3 phy21bio/Presentations/CH1.pdf 3 Phys 11: chap 2, Pg 5 Phys 11: chap 2, Pg 6...

  • 1

    Phys 11: chap 2, Pg 2

  • 2

    Phys 11: chap 2, Pg 3

    Phys 11: chap 2, Pg 4

  • 3

    Phys 11: chap 2, Pg 5

    Phys 11: chap 2, Pg 6

    average speed = total distance traveled

    total time

    speed and velocity measure how position changes with time

    t

    x

    Δ x

    Δ t

    trajectory

    t1

    x1

    t2

    x2

    average velocity = displacement total time

    x2 – x1 t2 – t1

    = Δx Δt

    =

    formula for a slope!

    vav = slope connecting line from t1 to t2

  • 4

    Phys 11: chap 2, Pg 7

    1)  more than 40 mi/hr

    2)  equal to 40 mi/hr

    3)  less than 40 mi/hr

    Phys 11: chap 2, Pg 8

  • 5

    Phys 11: chap 2, Pg 9

    The velocity at a specific instant of time

    v(t2 ) = slope of line tangent to path at t2

    Review: Average velocity between x1 and x2

    t

    x

    Δ x

    Δ t t1

    x1

    t2

    x2

    vav = Δx Δt

    Take two times very close to each other so Δt is very small

    t

    x Δ x

    Δ t

    v = limit = Δt→0

    Δx Δt

    What is the velocity right at point x2 at the instant the time is t2

    In st

    an ta

    ne ou

    s Av

    er ag

    e

    dx dt

    Phys 11: chap 2, Pg 10

  • 6

    Phys 11: chap 2, Pg 11 moving along +x but slowing down

    x-axis

    Phys 11: chap 2, Pg 12

    acceleration measures how the velocity changes with time

    average acceleration = change in velocity total time

    v2 – v1 t2 – t1

    = Δv Δt

    =

    formula for a slope!

    t

    v

    Δ v

    Δ t t1

    v1

    t2

    v2

    Av er

    ag e

    slope → a

    t

    v

    t

    In st

    an ta

    ne ou

    s

    slope of tangent → a

    a = limit = Δt→0

    Δv Δt

    dv dt

  • 7

    Phys 11: chap 2, Pg 13

    1.  1 2.  2 3.  3 4.  4

    v

    t 1

    t 2

    v

    t 3 v

    t 4

    Phys 11: chap 2, Pg 14

    v

    t 1

    v

    t 2

    v

    t 3 v

    t 4

  • 8

    Phys 11: chap 2, Pg 15

    1.  Choice One 2.  Choice Two 3.  Choice Three 4.  Choice Four

    v

    t 1

    t 2

    v

    t 3 v

    t 4

    Phys 11: chap 2, Pg 16

    v

    t 1

    v

    t 2

    v

    t 3 v

    t 4

  • 9

    Phys 11: chap 2, Pg 17

    1.  Choice One 2.  Choice Two 3.  Choice Three 4.  Choice Four

    v

    t 1

    t 2

    v

    t 3 v

    t 4

    Phys 11: chap 2, Pg 18

    v

    t 1

    v

    t 2

    v

    t 3 v

    t 4