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Back seat of an F-18


SPEED
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Question #8

• Is motion relative?
• Yes or No?




Are we ever really standing still?
Yes, All things are in motion.
• You may be perfectly still yet the earth is spinning on its axis
  and orbiting the sun.




• The sun orbits the center of the
  galaxy, our galaxy and
  Andromeda are moving toward
  one another, most of the other
  galaxies are moving away.
So to measure motion in a meaningful way, we
measure it relative to the observer or another
object we consider not to be moving.

 When you pass a car on the highway
 moving in the same direction, you may
 be going 70mph, and the other car
 65mph. But your speed relative to the
 other car is 5mph.



                         When the shuttle docks with the space station
                         the two orbiting objects approach one another
                         at a very slow speed relative to one another, but
                         both are orbiting at 17,000mph relative to the
                         surface of the earth.
Main IDEAS



•Motion is a change in position relative to your
surroundings.

•An object moves when it speeds up, slows
down or changes direction.
What’s a
Frame of
Reference?
A




B




C
BACKGROUND
OR OBJECT
USED FOR
COMPARISON
SPEED rate at w/c an
          object moves
          Distance (D)
Speed =
          Time (T)
Another way to express this is in a “formula triangle” like this:




                                  d




               s                                     t
SPEED IS….
Inversely Proportional to TIME

An ant crawled 12 inches
in 10 seconds. A second
ant crawled 24 inches in
10 seconds.

   Compare the speed of the ants.
DIRECTLY PROPORTIONAL
 TO DISTANCE

A plane flew 220 meters
in 1 second.
A second plane flew 220
meters in 2 seconds.


      Compare their speeds.
DISTANCE
Length between two places

Distance = speed x time
D= ST

  Expressed in km (1000m)
TIME
    d
T
=
    s
STEPS IN PROBLEM
        SOLVING
 STEP 1.   Write the formula
 STEP 2. Substitute given
          numbers and units
 STEP 3. Solve for the
          unknown.
CONSTANT SPEED
SPEED
THAT
DOES NOT
CHANGE
CONSTANT SPEED
SAMPLE PROBLEM:

At what speed did a plane
fly if it traveled 1760
meters in 8 seconds?
SOLUTION
Step 1.   Speed = Distance/Time
Step 2.   Speed = 1760 meters/ 8sec
Step 3.   Speed = 220 m/sec
SAMPLE PROBLEMS:
1. A car travels 240 kilometers in
3 hours. What is the speed of the
car during that time?
ANSWER:   S= d/t      S= 240 km/3 hr


                   80 Km/Hr
The speed of a
cruise ship is 50
km/hr. How far will
the ship travel in
14 hours?


   Answer: D = ST     700 km
AVERAGE SPEED
TOTAL DISTANCE / TOTAL TIME


AVERAGE       total distance traveled
          =
SPEED                     time
AVERAGE SPEED
A car travels 200 m in
10 seconds. What is
the average speed of
the car?
  ANSWER: Ave speed= total d/total time
                       = 200m/10s




                20 m/s
Definitions:

A change in position in a certain amount of time is __________.

__________________ is the rate at which an object moves and is
determined by dividing ____________ by _____________.

_________________________ is speed that does not change.

_________________________ is calculated by dividing the total
distance by the total time.
Image source: http://www.myteacherpages.com/
http://www.youtube.c
                        om/watch?v=arD374
                        MFk4w&feature=playe
                        r_embedded




http://www.youtube.co
m/watch?v=crjU5hu2fa
g&feature=player_emb
edded
SPEED
WORKSHEET
Complete for homework
Ken goes for a walk
                                                                             2. Describe the motion
                10
                                                                             shown in the graph:
                 9
                 8                                                           3.Calculate the average
Distance (km)




                 7
                 6                                                           speed for the graph –
                 5                                                           how does this value
                 4
                 3                                                           compare to your
                 2                                                           calculations above?
                 1
                 0
                        20        40      60        80    100    120         4. How far would Ken
                                         Time (minutes)                      travel if he walked for
                                                                             another hour (60
                                                                             minutes)?
        1.Calculate the speed at each point on the y-axis

Time (min)                   20         40          60      80         100       120
Distance
    (km)

                Speed
                 (km/min)
Ken goes for a walk                        2. Describe the motion
                                                                            shown in the graph:
                10
                 9
                 8                                                          3.Calculate the average
Distance (km)




                 7                                                          speed for the graph –
                 6
                 5
                                                                            how does this value
                 4                                                          compare to your
                 3
                 2
                                                                            calculations above?
                 1                                                          0.075 km/min
                 0
                     20         40      60        80    100     120
                                                                            3. How far would Ken
                                       Time (minutes)
                                                                            travel if he walked for
                                                                            another hour (60
        1.Calculate the speed at each point on the y-axis                   minutes)? 13.5 km

Time (min)                 20         40          60      80          100       120
Distance                  1.5          3        4.5       6           7.5        9
(km)

Speed                     0.075      0.075     0.075    0.075    0.075        0.075
(km/min)
Michelle Goes on a Bike Ride
                                                                              5.Describe the motion shown in the
                  80
                  70
                                                                                graph
                  60
  Distance (km)




                  50
                  40
                                                                              6.How many different rates are shown?
                  30                                                            Label them using A, B, . . . . .
                  20
                  10
                   0
                       1      2        3         4        5        6
                                       Time (hours)



7. Calculate the speeds for the different segments of the journey (Hint - you will have to use change in distance!)

    Time                      A            B          C            D
    (hours)
    Distance
    (km)

    Speed
    (min/km)

    8. What is the average speed for the entire trip? How does the value compare
       to your calculations above?

    9. Can you predict how far Michelle will travel if she travels for another 2
    hours? Why or why not? What additional information do you need?
Michelle Goes on a Bike Ride
                                                                              5.Describe the motion shown in the
                  80
                  70
                                                                                graph (moving at varying speed)
                  60
  Distance (km)




                  50
                  40
                                                                              6.How many different rates are shown?
                  30                                                            Label them using A, B, . . . . .
                  20
                  10
                   0
                       1      2        3         4        5        6
                                       Time (hours)



7. Calculate the speeds for the different segments of the journey (Hint - you will have to use change in distance!)

    Time (hours)                       A (1 h)            B (1h)               C (2 h)                 D (1h)
    Distance (km)
                                           10                 0                  40                     10
    Speed (km/h)
                                           10                 0                  20                     10

    8. What is the average speed for the entire trip? How does the value compare
       to your calculations above? 11.7 or 12 km/h

    9. Can you predict how far Michelle will travel if she travels for another 2
    hours? Why or why not? What additional information do you need?

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Motion-Speed

  • 1. Back seat of an F-18 SPEED http://alt.coxnewsweb.com/ajc/swf/blueangels/blueangels.swf
  • 2. Question #8 • Is motion relative? • Yes or No? Are we ever really standing still?
  • 3. Yes, All things are in motion. • You may be perfectly still yet the earth is spinning on its axis and orbiting the sun. • The sun orbits the center of the galaxy, our galaxy and Andromeda are moving toward one another, most of the other galaxies are moving away.
  • 4. So to measure motion in a meaningful way, we measure it relative to the observer or another object we consider not to be moving. When you pass a car on the highway moving in the same direction, you may be going 70mph, and the other car 65mph. But your speed relative to the other car is 5mph. When the shuttle docks with the space station the two orbiting objects approach one another at a very slow speed relative to one another, but both are orbiting at 17,000mph relative to the surface of the earth.
  • 5. Main IDEAS •Motion is a change in position relative to your surroundings. •An object moves when it speeds up, slows down or changes direction.
  • 7.
  • 10. SPEED rate at w/c an object moves Distance (D) Speed = Time (T)
  • 11. Another way to express this is in a “formula triangle” like this: d s t
  • 12. SPEED IS…. Inversely Proportional to TIME An ant crawled 12 inches in 10 seconds. A second ant crawled 24 inches in 10 seconds. Compare the speed of the ants.
  • 13. DIRECTLY PROPORTIONAL TO DISTANCE A plane flew 220 meters in 1 second. A second plane flew 220 meters in 2 seconds. Compare their speeds.
  • 14. DISTANCE Length between two places Distance = speed x time D= ST Expressed in km (1000m)
  • 15. TIME d T = s
  • 16. STEPS IN PROBLEM SOLVING  STEP 1. Write the formula  STEP 2. Substitute given numbers and units  STEP 3. Solve for the unknown.
  • 19. SAMPLE PROBLEM: At what speed did a plane fly if it traveled 1760 meters in 8 seconds?
  • 20. SOLUTION Step 1. Speed = Distance/Time Step 2. Speed = 1760 meters/ 8sec Step 3. Speed = 220 m/sec
  • 21. SAMPLE PROBLEMS: 1. A car travels 240 kilometers in 3 hours. What is the speed of the car during that time? ANSWER: S= d/t S= 240 km/3 hr 80 Km/Hr
  • 22. The speed of a cruise ship is 50 km/hr. How far will the ship travel in 14 hours? Answer: D = ST 700 km
  • 23. AVERAGE SPEED TOTAL DISTANCE / TOTAL TIME AVERAGE total distance traveled = SPEED time
  • 25. A car travels 200 m in 10 seconds. What is the average speed of the car? ANSWER: Ave speed= total d/total time = 200m/10s 20 m/s
  • 26. Definitions: A change in position in a certain amount of time is __________. __________________ is the rate at which an object moves and is determined by dividing ____________ by _____________. _________________________ is speed that does not change. _________________________ is calculated by dividing the total distance by the total time.
  • 28. http://www.youtube.c om/watch?v=arD374 MFk4w&feature=playe r_embedded http://www.youtube.co m/watch?v=crjU5hu2fa g&feature=player_emb edded
  • 30. Ken goes for a walk 2. Describe the motion 10 shown in the graph: 9 8 3.Calculate the average Distance (km) 7 6 speed for the graph – 5 how does this value 4 3 compare to your 2 calculations above? 1 0 20 40 60 80 100 120 4. How far would Ken Time (minutes) travel if he walked for another hour (60 minutes)? 1.Calculate the speed at each point on the y-axis Time (min) 20 40 60 80 100 120 Distance (km) Speed (km/min)
  • 31. Ken goes for a walk 2. Describe the motion shown in the graph: 10 9 8 3.Calculate the average Distance (km) 7 speed for the graph – 6 5 how does this value 4 compare to your 3 2 calculations above? 1 0.075 km/min 0 20 40 60 80 100 120 3. How far would Ken Time (minutes) travel if he walked for another hour (60 1.Calculate the speed at each point on the y-axis minutes)? 13.5 km Time (min) 20 40 60 80 100 120 Distance 1.5 3 4.5 6 7.5 9 (km) Speed 0.075 0.075 0.075 0.075 0.075 0.075 (km/min)
  • 32. Michelle Goes on a Bike Ride 5.Describe the motion shown in the 80 70 graph 60 Distance (km) 50 40 6.How many different rates are shown? 30 Label them using A, B, . . . . . 20 10 0 1 2 3 4 5 6 Time (hours) 7. Calculate the speeds for the different segments of the journey (Hint - you will have to use change in distance!) Time A B C D (hours) Distance (km) Speed (min/km) 8. What is the average speed for the entire trip? How does the value compare to your calculations above? 9. Can you predict how far Michelle will travel if she travels for another 2 hours? Why or why not? What additional information do you need?
  • 33. Michelle Goes on a Bike Ride 5.Describe the motion shown in the 80 70 graph (moving at varying speed) 60 Distance (km) 50 40 6.How many different rates are shown? 30 Label them using A, B, . . . . . 20 10 0 1 2 3 4 5 6 Time (hours) 7. Calculate the speeds for the different segments of the journey (Hint - you will have to use change in distance!) Time (hours) A (1 h) B (1h) C (2 h) D (1h) Distance (km) 10 0 40 10 Speed (km/h) 10 0 20 10 8. What is the average speed for the entire trip? How does the value compare to your calculations above? 11.7 or 12 km/h 9. Can you predict how far Michelle will travel if she travels for another 2 hours? Why or why not? What additional information do you need?