Sect. 8.1 Speed

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    Motion is when an

    object changes

    position.

    Speed (s) is how fast /

    slow it changes position.

    To calculate speed, we need

    1. Distance (how far it went)

    2. Time (how long it took)

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    Calculating Speed

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    HOW

    FASTAM I?

    Walking person

    1.4 m/s

    (3.1 mph)

    Cruising jet

    257 m/s

    (575 mph)

    Speeding race car

    96 m/s

    (215 mph)

    Flying eagle51 m/s

    (114 mph)

    Galloping horse

    19 m/s

    (42 mph)

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    To Solve Problems,

    use the blocks !!!

    INFO ANSWER

    with

    units!

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    Speed Calculation ExamplesFlorence Griffith Joyner set a world record by

    running 220 m in 21.34 s. What was heraverage speed?

    INFO

    d = 220m

    t = 21.34s

    s = ?

    ANSWER

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    Speed Calculation ExamplesThe worlds fastest passenger elevator operates

    at an average speed of 10 m/s. If the 60th floor is219 m above the first floor, how long does it takethe elevator to go from the 1st to the 60th floor?

    INFOd = 219m

    t = ?

    s = 10m/s

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    Distance-Time GraphsAllows us to see the motion of an object.

    x-axis:

    time (s)

    y-axis:

    distance

    (m)

    A straight line =

    constant speed.

    Slope = change in distance = avg. speed

    change in time

    Flat slope (horizontal) = at rest.

    Steeper slope = faster speed.

    s = +

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    Graphing Speed Example

    TIME DISTANCE

    0 min 0 m

    10 min 800 m

    20 min 1600 m

    30 min 2400 m

    TIME DISTANCE

    0 min 0 m

    10 min 400 m

    20 min 400 m

    30 min 1200 m

    Swimmer 1 Swimmer 2

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    Speed of Two Swimmers

    0 5 10 15 20 25 30

    Time (minutes)

    2400

    22002000

    1800

    1600

    1400

    1200

    1000

    800

    600

    400

    200

    0

    D

    i

    s

    ta

    n

    c

    e

    (m)

    What is the total distance

    the 1st swimmer swam?

    The second swimmer?2400 m

    1200 m

    What is the avg. speed of

    the 1st swimmer?

    The second swimmer?

    s = d = 2400 m = 80 m/min

    t 30 min

    s = d = 1200 m = 40 m/min

    t 30 min

    Compare the avg. speedof the 2ndswimmers 1st

    10 min to her last 10 min.1st = 400/10 = 40 m/min

    Last = 800/10 = 80 m/min

    Her s eed doubled!

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    Speed or Velocity?

    Velocity is simplyspeed with a direction!

    An escaped ostrich heading

    toward our campus at 16.2 m/s.

    A kitten running up

    a tree at 6.5 m/s.

    A car heading west on I-10 at 50 mph.

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    Momentum

    The product of an objectsmass and its velocity.

    momentum = mass x velocity

    p = mv

    UNITS:

    m = kg

    v = m/s

    p = kg m/s

    small mass

    small velocity

    small momentum

    large mass

    large velocitylarge momentum

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    Calculate the momentum of a

    6.00 kg bowling ball moving at10.0 m/s down the alley.

    INFO

    m = 6.00 kg

    v = 10.0 m/sdown the alley

    p = ?

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    ACCELERATION

    How fast the velocity is changing!

    + acceleration = speeding up

    - acceleration = slowing down

    UNITS: a = m/s = m/s2

    s

    acceleration = final velocityinitial velocity

    time

    a = VFVI = Vt t

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    Velocity-Time GraphAllows us to see the change in the

    velocity of an object.

    x-axis:

    time (s)

    y-axis:

    velocity

    (m/s)

    A straight line =

    constant

    acceleration.

    Slope =

    acceleration

    flat slope (horizontal) = constant velocity

    + slope = speeding up (+ acceleration)

    - slope = slowing down (- acceleration)

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    As a roller coaster starts down a

    hill, its speed is 10m/s. Threeseconds later, its speed is 32 m/s

    at the bottom of the hill. What is

    the roller coasters acceleration?

    INFO

    VI = 10 m/s

    VF = 32 m/st = 3 s

    a = VFVI / t

    a = (32 m/s - 10 m/s) / 3 s7.3 m/s2downward

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    CH 8 SEC 1 & 2 REVIEW Know the units for distance, time, mass,

    speed, velocity, momentum, acceleration.

    Be able to calculate

    - speed/velocity

    - momentum

    - acceleration

    from a word problem.

    Be able to interpret

    - speed

    - acceleration

    graphs.

    (**KEEP IN MIND: You will be given all formulas in the

    format they will appear on the

    TAKS formula sheet.**)

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    OBJECT TRIAL

    1

    TRIAL

    2

    TRIAL

    3

    AVERAGE

    TIME (s)

    SPEED

    (cm/s)

    v=d/t

    MASS

    (g)

    MOMENTUM

    (gm/s)

    p=mv

    Bouncy

    Ball

    Racquet /

    Sponge

    Ball

    Golf/Ping

    PongBall

    Car

    DATA TABLE

    P L b Q ti

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    Pre-Lab Questions1. Rank the following objects from 1-4. Your number

    1 should be the object that you think will have the

    fastest speed/velocity down the ramp.

    Bouncy Ball, Racquet / Sponge Ball,

    Golf / Ping-Pong Ball, Car

    2. Explain why you have ranked the objects in the

    order.

    3. What are units we usually use to measure speed?

    4. Since this is a science class, and we measure in

    metric units, what are units that we can measure

    speed in?

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    Conclusions

    1. Why is finding an average of three trialsmore accurate than just one trial?

    2. Which object had the fastest speed, whichhad the slowest?

    3. Did your results surprise you? Explain whyor why not.